Rs Aggarwal 2019 2020 Solutions for Class 8 Math Chapter 10 Profit And Loss are provided here with simple step-by-step explanations. These solutions for Profit And Loss are extremely popular among Class 8 students for Math Profit And Loss Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2019 2020 Book of Class 8 Math Chapter 10 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2019 2020 Solutions. All Rs Aggarwal 2019 2020 Solutions for class Class 8 Math are prepared by experts and are 100% accurate.

Page No 134:

Answer:

(i)CP=Rs. 620 SP=Rs. 713Since SP> CP, there is a gain.Gain =713 - 620 = Rs. 93Gain percentage=(gainCP×100)%                              =(93620×100)%                               =15%

(ii)
CP=Rs 675 SP=Rs 630Since SP< CP, there is a loss.Loss=675 - 630 = Rs. 45Loss percentage =(LossCP×100)%               =(45675×100)%                =623%

(iii)
CP=Rs. 345 SP=Rs. 372.60Since SP> CP, there is a gain.Gain=372.60 - 345 = Rs. 27.6Gain percentage=(gainCP ×100)%               =(27.6345×100)%                =(2760345)%                =8%

(iv)
CP=Rs 80 SP=Rs 76.80Since SP< CP, there is a loss.Loss =80 - 76.80 = Rs. 3.2Loss percentage=(lossCP ×100)%                               =(3.280×100)%                              =(3280×100)%                              =4%

Page No 134:

Answer:

(i)
CP=Rs. 1650Gain percentage=4%SP=(100+gain %)100×CP=(100+4)100×1650=104×1650100=Rs. 1716

(ii)
CP=Rs. 915Gain percentage=623%=203%SP=(100+gain %)100×CP=(100+203)100×915=3203100×915=3203×1100×915=Rs. 976

(iii)
CP=Rs. 875Loss percentage=12%SP=(100-loss %)100×CP=(100-12)100×875=77000100=Rs. 770

(iv)

CP=Rs. 645Loss percentage=1313%=403%SP=(100-loss %)100×CP=(100-403)100×645=300-403100×645=2603×1100×645=Rs. 559

Page No 134:

Answer:

(i)SP=Rs. 1596Gain percentage=12%CP=100(100+gain %)×SP=100(100+12)×1596=Rs. 1425

(ii)

SP=Rs. 2431 Loss percentage=612%=132%CP=100(100-loss %)×SP=100(100-132)×2431=100×2187×2431=Rs. 2600

(iii)
SP=Rs. 657.60 Loss percentage=4%CP=100(100-loss %)×SP=100(100-4)×657.60=Rs. 685

(iv)
SP=Rs. 34.40 Gain percentage=712%=152%CP=100(100+gain %)×SP=100(100+152)×34.40=100×2215×34.40=Rs. 32

Page No 134:

Answer:

CP of the iron safe = ₹12,160
Money spent on transportation = ₹340
Total CP = ₹12,160 + ₹340 = ₹12,500
SP of the iron safe = ₹12,875
Profit = SP − CP = ₹12,875 − ₹12,500 = ₹375
∴ Profit% = ProfitCP×100%=37512500×100%=3%
 

Page No 134:

Answer:


CP of the car=Rs. 73500Repairs=Rs. 10300Insurance=Rs. 2600Total CP=73500+10300+2600=Rs.86400SP=Rs. 84240Since SP<CP, Robin has a loss.Loss=86400-84240=Rs. 2160Loss percentage=(losstotal CP×100)%=(216086400×100)%=212%

Page No 134:

Answer:

Total cost of rice of 1st variety = ₹36/kg × 20 kg = ₹720
Total cost of rice of 2nd variety = ₹32/kg × 25 kg = ₹800
Total cost of the two rice varieties = ₹720 + ₹800 = ₹1,520
Total quantity of the two rice varieties = 20 kg + 25 kg = 45 kg
Selling price of the mixture of two rice = ₹38/kg × 45 kg = ₹1,710
Gain = SP − CP = ₹1,710 − ₹1,520 = ₹190
Gain% = GainCP×100%=1901520×100%=1212%

Page No 134:

Answer:

Let 5 kg of coffee be mixed with 2 kg of chicory.CP of the mixture=Rs (250×5+75×2)=Rs (1250+150)=Rs. 1400SP of the mixture=Rs (7×230)=Rs. 1610Since SP>CP, there is a gain. Now, gain=Rs (1610-1400)=Rs. 210Gain percentage=(gaintotal CP×100)%=(2101400×100)%=15%

Page No 134:

Answer:

Let Rs x be the SP of each bottle and Rs y be the CP of each bottle.SP of 16 bottles = CP of 17 bottles16x=17yxy=1716Gain per bottle=SP-CP=Rs (x-y) Gain percentage=(gainCP×100)%=(x-yy×100)%={(xy-1)×100}%={(1716-1)×100}%=(116×100)%=614%

Page No 134:

Answer:

Let Rs x be the CP of one candle and Rs. y be the SP of one candle.Now, CP of 12 candles=SP of 15 candles12x=15yyx=1215Loss = CP-SP=Rs (x-y) Loss percentage=(lossCP×100)%={(x-yx)×100}%={(1-yx)×100}%={(1-1215)×100}%=(315×100)%=20%

Page No 134:

Answer:

It is given that,
Gain = SP of 5 cassettes                 .....(1)
Gain = SP of 130 cassettes − CP of 130 cassettes
⇒ SP of 5 cassettes = SP of 130 cassettes − CP of 130 cassettes               [From (1)]
⇒ CP of 130 cassettes = SP of 125 cassettes          .....(2)
Let the CP of 1 cassettte be ₹x.
∴ CP of 125 cassettes = ₹125x
CP of 130 cassettes = ₹130x
SP of 125 cassettes = CP of 130 cassettes                    [From (2)]
⇒ SP of 125 cassettes = ₹130x
Now, gain% =SP-CPCP×100%=130x-125x125x×100%=5x125x×100%=4%
Thus, the gain percent is 4%.  

Page No 134:

Answer:

Let Rs x be the SP of one lemon.SP of 45 lemons=Rs. 45xLoss=SP of 3 lemons=Rs. 3xBut loss=CP-SPCP=loss+SP=3x+45x=Rs. 48x Loss percentage=(lossCP×100)%=(3x48x×100)%=614%

Page No 134:

Answer:

LCM of 6 and 4 = 12
Let the number of oranges bought be 12.
CP of 6 oranges = ₹20
So, CP of 1 orange = 206=103
CP of 12 orange = 12×103=40
SP of 4 oranges = ₹18
SP of 1 orange = 184=92
SP of 12 oranges = 12×92=54
Here, SP of 12 oranges > CP of 12 oranges.
Profit = SP − CP = ₹54 − ₹40 = ₹14
∴ Profit% = ProfitCP×100%=1440×100%=35%

Page No 134:

Answer:

LCM of 12 and 10 = 60
Let the number of banana bought be 60.
CP of 12 banana = ₹40
∴ CP of 1 banana = 4012=103
⇒ CP of 60 bananas = 60×103=200
SP of 10 bananas = ₹36
∴ SP of 1 banana = 3610=185
⇒ SP of 60 bananas = 60×185=216
Here, SP of 60 bananas > CP of 60 bananas.
Profit = SP − CP = ₹216 − ₹200 = ₹16
∴ Profit% = ProfitCP×100%=16200×100=8%

Page No 134:

Answer:

LCM of 10 and 12 = 60
Let the number of apples bought be 60.
CP of 10 oranges = ₹75
∴ CP of 1 orange = 7510
⇒ CP of 60 orange = 60×7510=450
SP of 12 oranges = ₹75
∴ SP of 1 orange = 7512
⇒ SP of 60 oranges = 60×7512=375
Here, CP of 60 oranges > SP of 60 oranges.
Loss = CP − SP = ₹450 − ₹375 = ₹75
∴ Loss% = LossCP×100%=75450×100%=1623%

Page No 134:

Answer:

Let the number of eggs purchased be x.
CP of 3 eggs = ₹16
∴ CP of 1 egg = 163
⇒ CP of x eggs = 163x
SP of 5 eggs = ₹36
∴ SP of 1 egg = 365
⇒ SP of x eggs = 365x
Gain = SP − CP = ₹168
365x-163x=1682815x=168x=168×1528x=90
Hence, the man purchased 90 eggs.



Page No 135:

Answer:

SP of the camera=Rs. 1080Let Rs x be the CP.Gain=Rs. 18x     ...(i)Also, gain=SP-CP                   =Rs. (1080 -x)      ...(ii)From (i) and (ii), we have:18x=1080 -xx=8640-8x9x=8640x=960 CP=Rs. 960Now, gain =18x=9608=Rs. 120 Gain percentage=(120960×100)%=1212%

Page No 135:

Answer:

SP of the pen=Rs. 54Let Rs x be the CP of the pen. Loss=Rs. x10SP=CP-Loss     =x-x10    =Rs. 9x10Now, we have9x10=54x=54×109x=60 CP of the pen=Rs. 60Now, loss=x10                 =6010                   =Rs. 6 Loss percentage=(lossCP×100)%=(660×100)%=10%

Page No 135:

Answer:

Let the cost price be ₹x.
Loss = 10% of ₹x = 10100x=x10
SP in case of loss = CP − Loss = x-x10=9x10
Gain =10% of ₹x = 10100x=x10
SP in case of profit = CP + Profit = x+x10=11x10
It is given that dealer gets ₹940 more if sold at a profit of 10% instead of loss of 10%.
∴ SP in case of profit − SP in case of loss = ₹940
11x10-9x10=9402x10=940x=4700
Hence, the cost price of the table is ₹4,700.

Page No 135:

Answer:

Let Rs x be the CP.Gain1 percentage=gain1CP×100%15=gain1x×100Gain1=Rs 15x100Again, gain2 percentage=gain2CP×100%8=gain2x×100Gain2=Rs 8x100According to the question, we have:Gain1-gain 2= 5615x100 - 8x100=567x100=567x=5600x=800Hence, the CP of the chair is Rs 800.

Page No 135:

Answer:

Let the CP be ₹x.
SP when gain is 10% = x+10100x=110100x
SP when gain is 14% = x+14100x=114100x
Difference in SP = SP when gain is 14% − SP when gain is 10% = ₹260
114x100-110x100=2604x100=260x=6500
Hence, the CP of the cycle is ₹6,500.

Page No 135:

Answer:

40 kg of wheat is bought for ₹12.50/kg.
∴ CP of 40 kg of wheat = 40 × 12.50 = ₹500
30 kg of wheat is bought for ₹14/kg.
∴ CP of 30 kg of wheat = 30 × 14 = ₹420
Total CP = ₹500 + ₹420 = ₹920
Profit = 5% of CP = 5% of ₹920 = 5100×920=46
Let the SP be ₹x.
Profit = SP − CP
x − 920 = 46
x = ₹966
SP of 70 kg wheat = ₹966
∴ SP of 1 kg wheat = 96670=13.80
Thus, the selling price of the mixture is ₹13.80/kg.

Page No 135:

Answer:

CP of the first bat = ₹840
Profit% on the first bat = 15%
∴ Profit = 15% of ₹840 = 15100×840=126
SP of the first bat = ₹840 + ₹126 = ₹966
CP of the second bat = ₹360
Loss = 5% of ₹360 = 5100×360=18
SP of the second bat = ₹360 − ₹18 = ₹342
Total CP of two bats = CP of first bat + CP of second bat = ₹840 + ₹360 = ₹1,200
Total SP of two bats = SP of first bat + SP of second bat = ₹966 + ₹342 = ₹1,308
Here, Total SP of two bats > Total CP of two bats.
Gain = Total SP of two bats − Total CP of two bats = ₹1,308 − ₹1,200 = ₹108
∴ Gain% in the whole transaction=GainTotal CP of two bats×100%=1081200×100=9%

Page No 135:

Answer:

CP of first jeans = ₹1,450
Profit = 8% of CP = 8100×1450=116
SP of first jeans = ₹1,450 + ₹116 = ₹1,566
CP of second jeans = ₹1,450
Loss = 4% of CP = 4100×1450=58
SP of second jeans = ₹1450 − ₹58 = ₹1,392
Total CP of two jeans = CP of first jeans + CP of second jeans = ₹1,450 + ₹1,450 = ₹2,900
Total SP of two jeans = SP of first jeans + SP of second jeans = ₹1,566 + ₹1,392 = ₹2,958
Here, Total SP of two jeans > Total CP of two jeans.
Gain = Total SP of two jeans − Total CP of two jeans = ₹2,958 − ₹2,900 = ₹58
∴ Gain% = GainTotal CP of two jeans×100%=582900×100%=2%

Page No 135:

Answer:

CP of 1 kg of rice = Rs 25
C.P of 200 kg rice= Rs (200×25)=Rs 5000
CP of 80 kg of rice=Rs (25×80)=Rs 2000

CP of 40 kg of rice = Rs (25×40)=Rs 1000
 
SP of 80 kg of rice = 100+gain%100×CP=Rs 110100×2000=Rs 2200

SP of 40 kg rice=100-loss%100×CP=Rs 96100×1000=Rs 960

 SP of 200 kg rice=100+gain%100×CP=Rs 108100×5000=Rs 5400

Remaining quantity of rice = (200 − 80 + 40) kg = 80 kg

​SP of the remaining rice (80 kg) = Rs (5400 − 2200 − 960)
                                                        = Rs 2240

 Rate per kg = Rs 224080= Rs 28

Page No 135:

Answer:

Let the CP of the TV set be ₹x.
SP of the TV set = 65CP=65x
Gain = SP of the TV set − CP of the TV set = 65x-x=x5
Gain% = GainCP×100%=x5x×100%=1005%=20%

Page No 135:

Answer:

Let the CP of the flower vase set be ₹x.
SP of the flower vase = 56CP=56x
Loss = CP − SP = x-56x=x6
Loss% = LossCP×100%=x6x×100%=1006%=503%=1623%

Page No 135:

Answer:

SP of the bouquet = Rs 322
Gain percentage = 15%
CP of the bouquet =100100+gain%×SP=Rs 100100+15×322=Rs 100115×322=Rs 280

Now, CP = Rs 128 and desired gain percentage = 25%

 Desired SP=100+gain%100×CP=Rs 125100×280=Rs 350

​Hence, the selling price to obtain the desired gain must be Rs 350.

Page No 135:

Answer:

Let the CP of the umbrella be ₹x.
SP of the umbrella = ₹336
Loss = 4% of ₹x = 4100x
CP − Loss = SP
x-4100x=33696100x=336x=350
∴ CP of the umbrella = ₹350
Now, for gain of 4%,
SP = CP + Gain
SP=350+4100×350SP=350+14SP=364
Hence, in order to gain 4%, the umbrella should be sold for ₹364.

Page No 135:

Answer:

Let the original price be x.
SP = Rs 3120
Now, SP = CP − loss
3120=x-4100x3120=x-x253120=24x253120×2524=xx=3250

So, the cost price is Rs 3250.

If it is sold for Rs 3445, then its a gain because SP > CP.
Now, gain = SP − CP
= Rs (3445 − 3250)
= Rs 195
 Gain percentage=gainCP×100%=1953250×100%=6%

Hence, gain percent = 6%

Page No 135:

Answer:

SP of first saree = ₹1,980
Loss = 10%
Let the CP of first saree be ₹x.
CP = Loss + SP
10100×x+1980=xx-10100x=198090100x=1980x=2200
∴ CP of first saree = ₹2,200
SP of second saree = ₹1,980
Gain = 10%
Let the CP of second saree be ₹y.
CP = SP − Gain
1980-10100×y=y1980-y10=yy+y10=198011y10=1980y=1800
∴ CP of second saree = ₹1,800
Total CP of two sarees = CP of first saree + CP of second saree = ₹2,200 + ₹1,800 = ₹4,000
Total SP of two sarees = SP of first saree + SP of second saree = ₹1,980 + ₹1,980 = ₹3,960
Here, Total CP of two sarees > Total SP of two sarees
Loss = Total CP of two sarees − Total SP of two sarees = ₹4,000 − ₹3,960 = ₹40
∴ Loss% in the whole transaction=LossTotal CP of two sarees×100%=404000×100%=1%

Page No 135:

Answer:

SP of first fan = ₹1,140
Gain = 14%
Let the CP of first fan be ₹x.
CP = SP − Gain
x=1140-14100xx+14100x=1140114100x=1140x=1000
∴ CP of first fan = ₹1,000
SP of second fan = ₹1,140
Loss = 5%
Let the CP of second fan be ₹y.
CP = Loss + SP
y=5100y+1140y-5100y=114095100y=1140y=1200
∴ CP of second fan = ₹1,200
Total CP of two fans = CP of first fan + CP of second fan = ₹1,000 + ₹1,200 = ₹2,200
Total SP of two fans = SP of first fan + SP of second fan = ₹1,140 + ₹1,140 = ₹2,280
Here, Total SP of two fans > Total CP of two fans
Gain = Total SP of two fans − Total CP of two fans = ₹2,280 − ₹2,200 = ₹80
∴ Gain% on whole transaction=GainTotal CP of two fans×100%=802200×100%=3.64%

Page No 135:

Answer:

Let the CP of the watch for Vinod be ₹x.
SP = Gain + CP
=12% of CP+x=12100x+x=112100x
Now,
SP of the water for Vinod will be the CP of the watch for Arun.
SP of the watch for Arun
= CP − Loss
=112100x-5% of 112100x=112100x-5100112100x=112100x1-5100=112100x95100
SP of the watch for Arun will be the CP of the watch for Manoj.
But, CP of the watch for Manoj = ₹3,990
So,
112100x95100=3990
x=3990×100×100112×95=3750
Thus, Vinod paid ₹3,750 for the watch.

Page No 135:

Answer:

CP of the plot of land = ₹4,80,000
CP of 25th of the land = 25×480000=1,92,000
Loss on 25th of the land = 6%
SP of 25th of the land = CP − Loss
=192000-6100×192000=1,80,480
CP of 35th of the land = 480000 − 192000 = ₹2,88,000
Total gain% = 10%
Total gain = 10100×480000=48,000
Total SP = CP + Gain = ₹4,80,000 + ₹48,000 = ₹5,28,000
SP of 35th of the land = ₹5,28,000 − ₹1,80,480 = ₹3,47,520
Gain on 35th of the land = SP of 35th land − CP of 35th land
= ₹3,47,520 − ₹2,88,000
= ₹59,520
Gain% on seling the remaining part of the plot = GainCP of 35th land×100%=59520288000×100%=2023%

Page No 135:

Answer:

CP of sugar = Rs 4500
Profit on one-third of the sugar = 10%

CP of one-third of the sugar = Rs 45003=Rs. 1500

 SP of one-third of the sugar =100+gain%100×CP=Rs 110100×1500=Rs 1650

Now, profit= Rs (1650 − 1500) = Rs 150

At a profit of 12%, we have:
SP of sugar =100+gain%100×CP=Rs 112100×4500=Rs 5040

∴ Gain= Rs (5040 − 4500) = Rs 5400

Profit on the remaining amount of sugar = Rs (540 − 150) = Rs 390
CP of the remaining sugar = Rs (4500 − 1500) = Rs 3000

 Gain percentage=gainCP×100%                              =3903000×100%                                 =13%

Therefore, the profit on the remaining amount of sugar is 13%.



Page No 138:

Answer:

Marked price = Rs 4650 and discount = 18%
Discount = 18% of marked price
              =18% of Rs 4650
             =Rs 4650×18100=Rs 837
Selling price = marked price − discount
                     =Rs (4650 - 837)=Rs 3813

Therefore, the selling price of the cooler is Rs 3813.

Page No 138:

Answer:

Marked Price = Rs 960
Selling Price = Rs 816
Discount = MP − SP
                = Rs (960 − 816)
                  = Rs 144
Rate of discount=144×100960=15%

Therefore, the discount on the sweater is 15%.

Page No 138:

Answer:

SP of the shirt = ₹1,092
Discount = ₹208
MP = SP + Discount = ₹1,092 + ₹208 = ₹1,300
∴ Rate of discount = DiscountMP×100%=2081300×100%=16%

Page No 138:

Answer:

Selling Price = Rs 216.20
Rate of discount = 8%
Marked Price = ?
SP = MP − discount
Let the MP be Rs x.

Now, x-8100×x=216.2092x100=216.2092x=21620x=2162092x=235

∴ Marked price = Rs 235

Page No 138:

Answer:

Cost price = Rs 528
Rate of discount = 12%
Marked price = ?
SP= MP − discount
Let the MP be Rs x.
Now, x-12100×x=52888x100=52888x=52800x=5280088x=Rs 600

Therefore, the marked price of tea set is Rs 600.

Page No 138:

Answer:

Let Rs 100 be the CP.
Then, marked price = Rs 135
Discount = 20% of MP
                =20100×135=27
Selling price = marked price − discount
                     = 135 − 27
                     = Rs 108
Now, gain = SP − CP
                  =108 − 100
                   =Rs 8

 Gain percentage=gainCP×100

                            = 8100×100= 8%

Page No 138:

Answer:

Let Rs 100 be the CP.
Then, marked price = Rs 140
Discount = 30% of MP
                =30100×140=42
Selling Price = marked price − discount
                      = 140 − 42
                      = Rs 98
Now, loss = CP − SP
                 = 100 − 98
                 = Rs 2
 Loss percentage=Loss×100CP=2×100100=2%

Therefore, the shopkeeper had a loss of 2%.

Page No 138:

Answer:

Cost price of the fan = Rs 1080
Gain percentage = 25%
 Selling price = (100 +gain %)100×CP=100+25100×1080=125100×1080=Rs 1350

Let the marked price be Rs x.
Discount = 25% of Rs x

             =25x100

SP = MP − discount
⇒ 1350 = X − 25X100

1350=100x-25x100135000=75x x=1350075 x=1800

Therefore, the marked price of the fan is Rs 1800.

Page No 138:

Answer:

Cost price of the refrigerator = Rs 11515
Gain percentage = 20%.
 Selling price =(100 +gain %)100×C.P=100+20100×11515=120100×11515=Rs 13818

Let the marked price be Rs x.
Discount = 16% of Rs x
                =16x100
S.P = MP − Discount
⇒ 13818 = x − 16x100

13818=100x-16x1001381800=84x x=138180084 x=16450

​Therefore, the marked price of the refrigerator is Rs 16450.

Page No 138:

Answer:

The cost price of the ring is Rs 1190.
Gain percentage = 20%.
 Selling price =(100 +gain %)100×C.P=100+20100×1190=120100×1190=Rs 1428

Let the marked price be x.
Discount = 16% of Rs x
               =16x100
SP = MP − Discount

1428=x-16x1001428=100x-16x100142800=84x14280084=xx=1700

​Therefore, the marked price of the ring is Rs 1700.

Page No 138:

Answer:

Let Rs 100 be the cost price.
Gain required = 17%
∴ Selling price = Rs 117
Let the marked price be Rs x.
Then, discount = 10% of x
                        =10100×x=x10
Selling Price = MP − discount
117=x-x10117=9x10

9x=1170x=11709x=130

∴ Marked price = Rs 130

Hence, the marked price is 30% above the cost price.

Page No 138:

Answer:

Let Rs 100 be the cost price.
Gain required = 8%
Therefore, the selling price is Rs 108.
Let Rs x be the marked price.
Then, discount = 10% of x
                      =10100×x=x10
Selling Price = MP − discount
117=x-x10117=9x10

9x=1080x=10809x=120

∴ Marked price = Rs 120

Hence, the marked price is 20% above the cost price.

Page No 138:

Answer:

Marked price of the TV = Rs 18500
First discount = 20%

Now, 20% of 18500=20100×18500=Rs 3700

Price after the first discount = Rs (18500 − 3700)= Rs 14800
Second discount = 5% of 14800
                                =5100×14800=740
Price after the second discount = (14800 − 740)
                                                   = Rs 14060
The TV is available for Rs 14060.

Page No 138:

Answer:

​Let the marked price of the article be Rs 100.
First discount = 20%
Price after the first discount = (100 − 20) = Rs 80
Second discount = 5% of 80
                            =5100×80=Rs 4
Price after the second discount = (80 − 4) = Rs 76
Net selling price = Rs 76
∴ Single discount equivalent to the given successive discounts = (100 − 76)% = 24%



Page No 139:

Answer:

List price of the refrigerator = Rs 14650
Sales tax = 6% of ​Rs 14650
            =Rs 14650×6100=Rs 879

Bill amount=Rs 14650+879
                 =Rs 15529
Hence, the cost of the refrigerator is Rs 15,529.

Page No 139:

Answer:

(i)
 Cost of the tie =Rs. 250
Sales tax=6% of Rs 250                 
             =Rs.250×6100=Rs.15
Hence, bill amount = Rs 250+15
                          =Rs.265

(ii) Cost of the medicines=Rs. 625
Sales tax=4% of Rs.625                 
             =Rs.625×4100=Rs.25
Hence, bill amount = Rs 625+25
                           =Rs 650

iii Cost of the cosmetics=Rs 430        Sales tax =10% of Rs 430
                      =Rs 430×10100=Rs 43

Hence, bill amount=Rs 430+43
                          =Rs.473

iv Cost of clothes=Rs 1175      Sales tax=8% of Rs 1175
                 =Rs 1175×8100=Rs 94
Hence, bill amount=Rs 1175+94                                        
                          =Rs.1269
Therefore, total amount to be paid by Reena = bill amount of all the four items
                                                              =Rs 265+650+473+1269=Rs 2657

Page No 139:

Answer:

Let the original price of the watch be Rs x.
VAT = 10% of Rs x
       =Rs x×10100=Rs 10x100
∴ Price including VAT = Rs x+x10
                                     =Rs 11x10
Now, 11x10=1980
      x=1980×1011       =1800

Hence, the original price of the watch is Rs 1,800.

Page No 139:

Answer:

​​Let the original price of the shirt be Rs x.
VAT = 7% of Rs x
       =Rs.x×7100=Rs.7x100
∴ Price including VAT = Rs.x+7x100
                                     =Rs.107x100
Now, 107x100=1337.50
         x=Rs 1337.50×100107       =Rs 1250

Hence, the original price of the shirt is Rs 1,250.

Page No 139:

Answer:

Let the price of 10 g of gold be Rs x.
VAT=1% of Rs x        =Rs x×1100        =Rs x100
∴ Price including VAT =Rs.x+x100
                                     =Rs 101x100
Now, 101x100=15756x= Rs 15756×100101       = Rs 15600

Hence, the price of 10 g of gold is Rs 15,600.

Page No 139:

Answer:

Let the original price of the computer be Rs x.
VAT=4% of Rs.x        =Rs.x×4100       =Rs.4x100
∴ Price including VAT=Rs.x+4x100
                                    =Rs.104x100
Now, 104x100= 37960x=37960×100104       = 36500

∴ The original price of the computer is Rs 36,500

Page No 139:

Answer:

​Let the original cost of the spare parts be Rs x.
VAT=12% of Rs.x        =Rs.x×12100       =Rs.12x100
∴ Price including VAT =Rs.x+12x100
                                      =Rs.112x100
Now, 112x100=20776x=20776×100112       =18550

Hence, ​the original cost of the spare parts is Rs 18,550.

Page No 139:

Answer:

​Let the list price of the TV set be Rs x.
VAT=8% of Rs.x        =Rs.x×8100        =Rs.8x100
∴ Price including VAT =Rs.x+8x100
                                     =Rs.108x100
Now, 108x100=27000x=27000×100108      =25000

Hence, the list price of the TV set is Rs 25,000.

Page No 139:

Answer:

Let the rate of VAT be x%. Then, we have:

840+x% of 840=882x100×840=882-84084x10=42x=42×1084       =5

∴ The rate of VAT is 5%.

Page No 139:

Answer:

Let the rate of VAT be x%. Then, we have:

   18500+x% of 18500=19980x100×18500=19980-18500185x=1480x=1480185       =8

∴ The rate of VAT is 8%.

Page No 139:

Answer:

Let the rate of VAT be x%. Then, we have:

34000+x% of 34000=382500x100×340000=382500-3400003400x=42500x=425003400       =12.5

∴ The rate of VAT is 12.5%.



Page No 140:

Answer:

(c) 3313%SP=Rs 100Gain=Rs 100-75        =Rs 25 Gain percentage=gainCP×100%            =2575×100%            =3313%

Page No 140:

Answer:

   (b)1212%CP=Rs 120SP=Rs 105Loss=Rs 120-105         =Rs 15 Loss percentage=lossCP×100                               =15120×100                                 =1212%

Page No 140:

Answer:

 (b) 25%CP=SP-Gain      =Rs 100-20     =Rs 80 Gain percentage=gainCP×100%                              =2080×100%                              =25%

Page No 140:

Answer:

 (d) Rs 72SP=Rs 48Loss=20%Now, CP=100100-loss%×SP      =Rs 100100-loss%×SP     =Rs 100100-20×48     =Rs 10080×48     =Rs 60

 Desired SP=100+gain%100×CP

                   =100+20100×60=Rs 1210×60=Rs 72

Page No 140:

Answer:

(c) 120%

Let the SP and CP of the article be Rs x and y, respectively.
Gain percentage = 10%
⇒ 10 = x-yy×100
⇒ y = 10x11

According to the question, we have:

SP = Rs 2x
∴ Gain percentage = gainCP×100

                                =2x-10x1110x11×100=1210×100=120%

Page No 140:

Answer:

(d) 125%
Cost price of a banana=Rs 23Selling price of a banana=Rs 32Now, profit = Rs (32-23)=Rs 9-46=Rs 56 Gain percentage = gainCP×100=5623×100=56×32×100= 54×100=5×25=125%

Page No 140:

Answer:

 (c) 20%    

Let Rs x be the SP of each pen.SP of 10 pens=CP of 12 pens=Rs 12xCP of 10 pens=Rs 10xNow, gain=Rs 12x-10x                    =Rs 2x Gain percentage=gainCP×100%
                            =2x10x×100%=20%

Page No 140:

Answer:

    (b) 25%

  Let the SP of 100 pens be Rs x.SP of 1 pen=Rs x100Profit=Rs 20x100         =Rs x5Now, CP=x-x5       =4x5 Gain percentage=x54x5×100                                     =25%

Page No 140:

Answer:

(d) 150%     

 ​ L.C.M of 5 and 2=5×1×2=10Let 10 be the number of toffees bought.CP of 5 toffees=Rs 1 CP of 1 toffee=Rs 15 CP of 10 toffees=Rs 15×10                        =Rs 2SP of 2 toffees= Rs 1SP of 1 toffee=Rs 12 SP of 10 toffees=Rs 12×10
                                =Rs.5
  Gain=Rs 5-2         =Rs 3Gain percentage=gainCP×100%                             =32×100%                              =150%

Page No 140:

Answer:

(d) 25%

  ​L.C.M of 5 and 6=5×1×6=30Let 30 be the number of oranges bought.CP of 5 oranges=Rs 10CP of 1 oranges=Rs 105                              =Rs 2 CP of 30 oranges=Rs 2×30                                     =Rs 60SP of 6 oranges= Rs 15SP of 1 oranges=Rs 156 SP of 30 oranges=Rs 156×30

                                =Rs 75

        Now, gain=Rs 75-60                  =Rs 15 Gain percentage=gainCP×100%                             =1560×100%             =25%

Page No 140:

Answer:

​(a) 4%     

SP of the radio=Rs 950Loss=5%CP=100100-loss×SP     =Rs 100100-5×950     =Rs 10095×950     =Rs 1000
     
Now, gain=Rs 1040-1000       =Rs 40 Gain percentage=gainCP×100%           =401000×100%           =4%

Page No 140:

Answer:

(a) 20%

 Let Rs x be the CP of each article. SP of an article=Rs 65xNow, gain=SP-CP       =Rs 65x-x       =Rs x5 Gain percentage=gainCP×100%           =x5x×100%           =x5×1x×100%           =20%

Page No 140:

Answer:

​ (b) Rs.1200     

SP=Rs 720Loss percentage=25%CP=100100-loss%×SP     =Rs 100100-25×SP     =Rs 10085×720     =Rs 960 Desired SP=100+gain%100×CP
                    =Rs.100+25100×960=Rs.125100×960=Rs.1200

Page No 140:

Answer:

(a) 5%


CP=Rs.20xSP=Rs.21xGain=Rs.21-20       =Rs.x Gain percentage=gainCP×100%           =x20x×100%           =5%

Page No 140:

Answer:

(a) 1.5% gain

​       SP of the first chair=Rs 500Gain percentage=20% CP of the first chair=100100+gain%×SP
                                =Rs.100100+20×500=Rs.100120×500=Rs.416.67
        
       SP of the second chair=Rs.500Loss percentage=12% CP of the second chair=100100-loss%×SP
                                   =Rs.100100-12×500=Rs.10088×500=Rs.568.18
   
  Total CP of the two chairs=Rs.416.67+568.18
                                         =Rs.984.85
     Total SP of the two chairs=Rs.500×2
                                        =Rs.1000
      Since SP>CP, there is a gain in the whole transaction.Now, gain=Rs.1000-984.85       =Rs.15.15 Gain percentage=gainCP×100%          =15.15984.85×100%          =1.5%



Page No 141:

Answer:

(b) Rs 530    

 Let the CP be Rs x.  Then, we have:625-x=x-435x+x=625+4352x=1060 x= Rs 530

Page No 141:

Answer:

​(c) Rs 198  

    CP=Rs 150Total CP=Rs 150+10% of 150              =Rs 150+10100×150              =Rs 150+15              =Rs 165 Desired SP=100+gain%100×total CP
                     =Rs.100+20100×165=Rs.120100×165=Rs.198

Page No 141:

Answer:

(a)​ Rs. 50     

 Let the CP be Rs x. Then, we have:105% of x-95% of x=5105100×x-95100×x=5105x100-95x100=5105x-95x100=510x100=5x10=5x=50 CP=Rs 50

Page No 141:

Answer:

​(b) 8%   

Let the CP be Rs 100.Then, marked price=Rs 120Discount=10% of MP

            =10% of Rs120=Rs.120×10100=Rs.12

 Now, SP=MP-discount                 =Rs 120-12                 =Rs 108Gain percentage=108-100%                                =8%

Page No 141:

Answer:

​(c) 1% loss    

 Let the CP be Rs 100.Then, marked price=Rs 110Discount=10% of MP

      
             =10% of Rs.110=Rs.110×10100=Rs.11

Now, SP=MP-discount    =Rs 110-11    =Rs 99 Loss percentage=(100-99)%=1%
 

Page No 141:

Answer:

(c) Rs.750

Let the basic price be x.VAT=10% of Rs x      =Rs x×10100      =Rs x10 Price including VAT=Rs x+x10
                                     =Rs.11x10
Now, 11x10=825
    x=825×1011x=750

∴ The basic price of the watch is Rs 750.



Page No 142:

Answer:

SP=Rs 322Gain percentage=15% CP=100100+gain%×SP
       =Rs.100100+15×322=Rs.100115×322=Rs.280
Now, desired SP=100+gain%100×CP
                     =Rs.100+20100×280=Rs.120100×280=Rs.336

∴ The desired selling price is Rs 336.

Page No 142:

Answer:

Let the CP of each pen be Rs x.CP of 16 pens=Rs 16xSP of 16 pens=CP of 12 pens=Rs 12xi.e., CP>SPNow, loss=CP-SP         =(16x-12x)         =Rs.4x Loss percentage=lossCP×100          =4x16x×100          =25%
                        
     

Page No 142:

Answer:

Let the CP be Rs x.Then, we have:12% of x-8% of x=30x×12100-x×8100=3012x100-8x100=304x100=30x=30×1004        =750
 The cost price of the chair is Rs 750.

Page No 142:

Answer:

Let the CP be Rs 100.Then, marked price=Rs 130 Discount=10% of MP
           
             =10% of Rs.130=Rs.130×10100=Rs.13

Now, SP=MP-discount    =Rs.130-13    =Rs.117 Gain percentage=117-100%                             =17%
 The gain percentage of the trader is 17%.

Page No 142:

Answer:

Let the marked price be Rs 100.Then, first discount on it =Rs 20Price after the first discount=Rs 100-20
                                          =Rs.80
Second discount on it=10% of Rs 80
                             =Rs 80×10100=Rs 8

Price after the second discount=Rs.80-8
                                             =Rs.72
Net selling price=Rs.72Single discount equivalent to given successive discounts=100-72%
                                                                             =28%
 The single discount equivalent to given successive discounts is 28%.

Page No 142:

Answer:

​      Let the original price be Rs x.VAT=10% of Rs x      =Rs x×10100      =Rs x10 Price including VAT=Rs x+x10
                                      =Rs.11x10
       11x10=1870
      x=1870×1011x=1700
      The original price of the watch is Rs 1,700. 

Page No 142:

Answer:

(b) 25%
​  
    Let Rs x be the SP of 100 pens.SP of 1 pen=Rs x100Profit on 100 pens =selling price of 20 pens        =20100×x       =x5Now, CP=SP-Profit=x-x5=4x5 Profit percent on 100 pens=profitCP×100=x54x5×100=25%
                 

Page No 142:

Answer:

(d) 25%

SP=Rs 100Gain=Rs 20CP=Rs 100-20     =Rs 80Gain percentage=gainCP×100%          =2080×100%          =25%

Page No 142:

Answer:

(b) 20%

Let x be the CP of the article.Then, SP of the article=65xNow, gain=SP-CP       =65x-x       =x5 Gain percentage=gainCP×100%           =x5x×100%           =x5×1x×100%           =20%

Page No 142:

Answer:

(c) Rs.920    

 SP=Rs 680Loss percentage=15%Now, CP=100100-loss%×SP
          =Rs.100100-15×680=Rs.10085×680=Rs.800
 Desired SP=100+gain%100×CP
                  =Rs 100+15100×800=Rs 115100×800=Rs 920

Page No 142:

Answer:

​(c) 8%  

Let the CP be Rs 100.Then, marked price=Rs 120 Discount=10% of MP

             =10% of Rs.120=Rs.120×10100=Rs.12

Now, SP=MP-discount    =Rs 120-12    =Rs 108 Gain percentage=108-100%           =8%

Page No 142:

Answer:

​(c) Rs.750  

 Let the original price be Rs x.VAT=8% of Rs x      =Rs x×8100      =Rs 8x100 Price including VAT=Rs x+8x100
                                             =Rs.108x100
Now, 108x10=810
          x=810×100108x=750
     

Page No 142:

Answer:

​(i) The discount is reckoned on the marked price.
(ii) Gain or loss is always reckoned on the cost price.
(iii) SP = (Marked price) − (Discount).
(iv) VAT is charged on the selling price of the article.

Page No 142:

Answer:

​(i) False (F)

SP=100-loss%100×CP


(ii) True (T)

(iii) False (F)
Gain is reckoned on the cost price.

(iv) True (T)



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