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Page 1
1. Given the following values, find the unknown values:
(i) C.P. = Rs 1200, S.P. = Rs 1350 Profit/Loss?
(ii) C.P. = Rs 980, S.P. = Rs 940 Profit/Loss =?
(iii) C.P. = Rs 720, S.P. =?, Profit = Rs 55.50
(iv) C.P. =? S.P. = Rs 1254, Loss = Rs 32
Solution:
(i) Given CP = Rs. 1200, SP = Rs. 1350
Clearly CP < SP. So, profit.
Profit = SP – CP
= Rs. (1350 – 1200)
= Rs. 150
(ii) Given CP = Rs. 980, SP = Rs. 940
Clearly CP > SP. So, loss.
Loss = CP - SP
= Rs. (980 – 940)
= Rs. 40
(iii) CP = Rs. 720, SP =?, profit = Rs. 55.50
Profit = SP – CP
55.50 = SP – 720
SP = (55.50 + 720)
= Rs. 775.50
(iv) CP =?, SP = Rs. 1254, loss = Rs. 32
Loss = CP – SP
32 = CP – 1254
CP = (1254 + 32)
= Rs. 1286
2. Fill in the blanks in each of the following:
(i) C.P. = Rs 1265, S.P. = Rs 1253, Loss = Rs …….
(ii) C.P. = Rs……., S.P. = Rs 450, Profit = Rs 150
Page 2
1. Given the following values, find the unknown values:
(i) C.P. = Rs 1200, S.P. = Rs 1350 Profit/Loss?
(ii) C.P. = Rs 980, S.P. = Rs 940 Profit/Loss =?
(iii) C.P. = Rs 720, S.P. =?, Profit = Rs 55.50
(iv) C.P. =? S.P. = Rs 1254, Loss = Rs 32
Solution:
(i) Given CP = Rs. 1200, SP = Rs. 1350
Clearly CP < SP. So, profit.
Profit = SP – CP
= Rs. (1350 – 1200)
= Rs. 150
(ii) Given CP = Rs. 980, SP = Rs. 940
Clearly CP > SP. So, loss.
Loss = CP - SP
= Rs. (980 – 940)
= Rs. 40
(iii) CP = Rs. 720, SP =?, profit = Rs. 55.50
Profit = SP – CP
55.50 = SP – 720
SP = (55.50 + 720)
= Rs. 775.50
(iv) CP =?, SP = Rs. 1254, loss = Rs. 32
Loss = CP – SP
32 = CP – 1254
CP = (1254 + 32)
= Rs. 1286
2. Fill in the blanks in each of the following:
(i) C.P. = Rs 1265, S.P. = Rs 1253, Loss = Rs …….
(ii) C.P. = Rs……., S.P. = Rs 450, Profit = Rs 150
(iii) C.P. = Rs 3355, S.P. = Rs 7355,……. = Rs……
(iv) C.P. = Rs……., S.P. = Rs 2390, Loss = Rs 5.50
Solution:
(i) Loss = Rs 12
Explanation:
Given CP = Rs. 1265, SP = Rs. 1253
Loss = CP – SP
= Rs. (1265 – 1253)
= Rs. 12
(ii) C.P. = Rs 300
Explanation:
Given CP = ?, SP = Rs. 450, profit = Rs. 150
Profit = SP – CP
150 = 450 – CP
CP = Rs. (450 – 150)
= Rs. 300
(iii) Profit = Rs 4000
Explanation:
Given CP = Rs. 3355, SP = Rs. 7355,
Here SP > CP, so profit.
Profit = SP – CP
Profit = Rs. (7355 – 3355)
= Rs. 4000
(iv) C. P. = Rs 2395.50
Explanation:
Given CP = ?, SP = Rs. 2390, loss = Rs. 5.50
Loss = CP – SP
5.50 = CP – 2390
= Rs. (5.50 + 2390)
Page 3
1. Given the following values, find the unknown values:
(i) C.P. = Rs 1200, S.P. = Rs 1350 Profit/Loss?
(ii) C.P. = Rs 980, S.P. = Rs 940 Profit/Loss =?
(iii) C.P. = Rs 720, S.P. =?, Profit = Rs 55.50
(iv) C.P. =? S.P. = Rs 1254, Loss = Rs 32
Solution:
(i) Given CP = Rs. 1200, SP = Rs. 1350
Clearly CP < SP. So, profit.
Profit = SP – CP
= Rs. (1350 – 1200)
= Rs. 150
(ii) Given CP = Rs. 980, SP = Rs. 940
Clearly CP > SP. So, loss.
Loss = CP - SP
= Rs. (980 – 940)
= Rs. 40
(iii) CP = Rs. 720, SP =?, profit = Rs. 55.50
Profit = SP – CP
55.50 = SP – 720
SP = (55.50 + 720)
= Rs. 775.50
(iv) CP =?, SP = Rs. 1254, loss = Rs. 32
Loss = CP – SP
32 = CP – 1254
CP = (1254 + 32)
= Rs. 1286
2. Fill in the blanks in each of the following:
(i) C.P. = Rs 1265, S.P. = Rs 1253, Loss = Rs …….
(ii) C.P. = Rs……., S.P. = Rs 450, Profit = Rs 150
(iii) C.P. = Rs 3355, S.P. = Rs 7355,……. = Rs……
(iv) C.P. = Rs……., S.P. = Rs 2390, Loss = Rs 5.50
Solution:
(i) Loss = Rs 12
Explanation:
Given CP = Rs. 1265, SP = Rs. 1253
Loss = CP – SP
= Rs. (1265 – 1253)
= Rs. 12
(ii) C.P. = Rs 300
Explanation:
Given CP = ?, SP = Rs. 450, profit = Rs. 150
Profit = SP – CP
150 = 450 – CP
CP = Rs. (450 – 150)
= Rs. 300
(iii) Profit = Rs 4000
Explanation:
Given CP = Rs. 3355, SP = Rs. 7355,
Here SP > CP, so profit.
Profit = SP – CP
Profit = Rs. (7355 – 3355)
= Rs. 4000
(iv) C. P. = Rs 2395.50
Explanation:
Given CP = ?, SP = Rs. 2390, loss = Rs. 5.50
Loss = CP – SP
5.50 = CP – 2390
= Rs. (5.50 + 2390)
= Rs. 2395.50
3. Calculate the profit or loss and profit or loss percent in each of the following cases:
(i) C.P. = Rs 4560, S.P. = Rs 5000
(ii) C.P. = Rs 2600, S.P. = Rs 2470
(iii) C.P. = Rs 332, S.P. = Rs 350
(iv) C.P. = Rs 1500, S.P. = Rs 1500
Solution:
(i) Given CP = Rs. 4560, SP = Rs. 5000
Here, clearly SP > CP. So, profit.
Profit = SP – CP
= Rs. (5000 – 4560)
= Rs. 440
Profit % = {(Profit/CP) x 100} %
= {(440/4560) x 100} %
= {0.0965 x 100} %
Profit % = 9.65%
(ii) Given CP = Rs. 2600, SP = Rs. 2470.
Here, clearly CP > SP. So, loss.
Loss = CP – SP
= Rs. (2600 – 2470)
= Rs. 130
Loss % = {(Loss/CP) x 100} %
= {(130/2600) x 100} %
= {0.05 x 100} %
Loss % = 5%
(iii) Given CP = Rs. 332, SP= Rs. 350.
Here, clearly SP > CP. So, profit.
Profit = SP – CP
= Rs. (350 – 332)
= Rs. 18
Profit% = {(Profit/CP) x 100} %
= {(18/332) x 100} %
= {0.054 x 100} %
Page 4
1. Given the following values, find the unknown values:
(i) C.P. = Rs 1200, S.P. = Rs 1350 Profit/Loss?
(ii) C.P. = Rs 980, S.P. = Rs 940 Profit/Loss =?
(iii) C.P. = Rs 720, S.P. =?, Profit = Rs 55.50
(iv) C.P. =? S.P. = Rs 1254, Loss = Rs 32
Solution:
(i) Given CP = Rs. 1200, SP = Rs. 1350
Clearly CP < SP. So, profit.
Profit = SP – CP
= Rs. (1350 – 1200)
= Rs. 150
(ii) Given CP = Rs. 980, SP = Rs. 940
Clearly CP > SP. So, loss.
Loss = CP - SP
= Rs. (980 – 940)
= Rs. 40
(iii) CP = Rs. 720, SP =?, profit = Rs. 55.50
Profit = SP – CP
55.50 = SP – 720
SP = (55.50 + 720)
= Rs. 775.50
(iv) CP =?, SP = Rs. 1254, loss = Rs. 32
Loss = CP – SP
32 = CP – 1254
CP = (1254 + 32)
= Rs. 1286
2. Fill in the blanks in each of the following:
(i) C.P. = Rs 1265, S.P. = Rs 1253, Loss = Rs …….
(ii) C.P. = Rs……., S.P. = Rs 450, Profit = Rs 150
(iii) C.P. = Rs 3355, S.P. = Rs 7355,……. = Rs……
(iv) C.P. = Rs……., S.P. = Rs 2390, Loss = Rs 5.50
Solution:
(i) Loss = Rs 12
Explanation:
Given CP = Rs. 1265, SP = Rs. 1253
Loss = CP – SP
= Rs. (1265 – 1253)
= Rs. 12
(ii) C.P. = Rs 300
Explanation:
Given CP = ?, SP = Rs. 450, profit = Rs. 150
Profit = SP – CP
150 = 450 – CP
CP = Rs. (450 – 150)
= Rs. 300
(iii) Profit = Rs 4000
Explanation:
Given CP = Rs. 3355, SP = Rs. 7355,
Here SP > CP, so profit.
Profit = SP – CP
Profit = Rs. (7355 – 3355)
= Rs. 4000
(iv) C. P. = Rs 2395.50
Explanation:
Given CP = ?, SP = Rs. 2390, loss = Rs. 5.50
Loss = CP – SP
5.50 = CP – 2390
= Rs. (5.50 + 2390)
= Rs. 2395.50
3. Calculate the profit or loss and profit or loss percent in each of the following cases:
(i) C.P. = Rs 4560, S.P. = Rs 5000
(ii) C.P. = Rs 2600, S.P. = Rs 2470
(iii) C.P. = Rs 332, S.P. = Rs 350
(iv) C.P. = Rs 1500, S.P. = Rs 1500
Solution:
(i) Given CP = Rs. 4560, SP = Rs. 5000
Here, clearly SP > CP. So, profit.
Profit = SP – CP
= Rs. (5000 – 4560)
= Rs. 440
Profit % = {(Profit/CP) x 100} %
= {(440/4560) x 100} %
= {0.0965 x 100} %
Profit % = 9.65%
(ii) Given CP = Rs. 2600, SP = Rs. 2470.
Here, clearly CP > SP. So, loss.
Loss = CP – SP
= Rs. (2600 – 2470)
= Rs. 130
Loss % = {(Loss/CP) x 100} %
= {(130/2600) x 100} %
= {0.05 x 100} %
Loss % = 5%
(iii) Given CP = Rs. 332, SP= Rs. 350.
Here, clearly SP > CP. So, profit.
Profit = SP – CP
= Rs. (350 – 332)
= Rs. 18
Profit% = {(Profit/CP) x 100} %
= {(18/332) x 100} %
= {0.054 x 100} %
Profit % = 5.4%
(iv) Given CP = Rs. 1500, SP = Rs. 1500
Here clearly SP = CP.
So, neither profit nor loss.
4. Find the gain or loss percent, when:
(i) C.P. = Rs 4000 and gain = Rs 40.
(ii) S.P. = Rs 1272 and loss = Rs 328
(iii) S.P. = Rs 1820 and gain = Rs 420.
Solution:
(i) Given CP = Rs. 4000, gain = Rs. 40
Gain % = {(Gain/CP) x 100) %
= {(40/4000) x 100} %
= (0.01 x 100) %
Gain % = 1%
(ii) Given SP = Rs. 1272, loss = Rs. 328
Loss = CP – SP
Hence, CP = Loss+ SP
= Rs. 328 + Rs. 1272
= Rs. 1600
Loss % = {(Loss/CP) x 100} %
= {(328/1600) x 100%
Loss % = 20.5%
(iii) Given SP = Rs. 1820, gain = Rs. 420
Gain = SP – CP
CP = 1820 – 420
= Rs. 1400
Gain % = {(Gain/CP) x 100} %
= {(420/1400) x 100 %
Gain % = 30%
5. Find the gain or loss percent, when:
(i) C.P. = Rs 2300, Overhead expenses = Rs 300 and gain = Rs 260.
Page 5
1. Given the following values, find the unknown values:
(i) C.P. = Rs 1200, S.P. = Rs 1350 Profit/Loss?
(ii) C.P. = Rs 980, S.P. = Rs 940 Profit/Loss =?
(iii) C.P. = Rs 720, S.P. =?, Profit = Rs 55.50
(iv) C.P. =? S.P. = Rs 1254, Loss = Rs 32
Solution:
(i) Given CP = Rs. 1200, SP = Rs. 1350
Clearly CP < SP. So, profit.
Profit = SP – CP
= Rs. (1350 – 1200)
= Rs. 150
(ii) Given CP = Rs. 980, SP = Rs. 940
Clearly CP > SP. So, loss.
Loss = CP - SP
= Rs. (980 – 940)
= Rs. 40
(iii) CP = Rs. 720, SP =?, profit = Rs. 55.50
Profit = SP – CP
55.50 = SP – 720
SP = (55.50 + 720)
= Rs. 775.50
(iv) CP =?, SP = Rs. 1254, loss = Rs. 32
Loss = CP – SP
32 = CP – 1254
CP = (1254 + 32)
= Rs. 1286
2. Fill in the blanks in each of the following:
(i) C.P. = Rs 1265, S.P. = Rs 1253, Loss = Rs …….
(ii) C.P. = Rs……., S.P. = Rs 450, Profit = Rs 150
(iii) C.P. = Rs 3355, S.P. = Rs 7355,……. = Rs……
(iv) C.P. = Rs……., S.P. = Rs 2390, Loss = Rs 5.50
Solution:
(i) Loss = Rs 12
Explanation:
Given CP = Rs. 1265, SP = Rs. 1253
Loss = CP – SP
= Rs. (1265 – 1253)
= Rs. 12
(ii) C.P. = Rs 300
Explanation:
Given CP = ?, SP = Rs. 450, profit = Rs. 150
Profit = SP – CP
150 = 450 – CP
CP = Rs. (450 – 150)
= Rs. 300
(iii) Profit = Rs 4000
Explanation:
Given CP = Rs. 3355, SP = Rs. 7355,
Here SP > CP, so profit.
Profit = SP – CP
Profit = Rs. (7355 – 3355)
= Rs. 4000
(iv) C. P. = Rs 2395.50
Explanation:
Given CP = ?, SP = Rs. 2390, loss = Rs. 5.50
Loss = CP – SP
5.50 = CP – 2390
= Rs. (5.50 + 2390)
= Rs. 2395.50
3. Calculate the profit or loss and profit or loss percent in each of the following cases:
(i) C.P. = Rs 4560, S.P. = Rs 5000
(ii) C.P. = Rs 2600, S.P. = Rs 2470
(iii) C.P. = Rs 332, S.P. = Rs 350
(iv) C.P. = Rs 1500, S.P. = Rs 1500
Solution:
(i) Given CP = Rs. 4560, SP = Rs. 5000
Here, clearly SP > CP. So, profit.
Profit = SP – CP
= Rs. (5000 – 4560)
= Rs. 440
Profit % = {(Profit/CP) x 100} %
= {(440/4560) x 100} %
= {0.0965 x 100} %
Profit % = 9.65%
(ii) Given CP = Rs. 2600, SP = Rs. 2470.
Here, clearly CP > SP. So, loss.
Loss = CP – SP
= Rs. (2600 – 2470)
= Rs. 130
Loss % = {(Loss/CP) x 100} %
= {(130/2600) x 100} %
= {0.05 x 100} %
Loss % = 5%
(iii) Given CP = Rs. 332, SP= Rs. 350.
Here, clearly SP > CP. So, profit.
Profit = SP – CP
= Rs. (350 – 332)
= Rs. 18
Profit% = {(Profit/CP) x 100} %
= {(18/332) x 100} %
= {0.054 x 100} %
Profit % = 5.4%
(iv) Given CP = Rs. 1500, SP = Rs. 1500
Here clearly SP = CP.
So, neither profit nor loss.
4. Find the gain or loss percent, when:
(i) C.P. = Rs 4000 and gain = Rs 40.
(ii) S.P. = Rs 1272 and loss = Rs 328
(iii) S.P. = Rs 1820 and gain = Rs 420.
Solution:
(i) Given CP = Rs. 4000, gain = Rs. 40
Gain % = {(Gain/CP) x 100) %
= {(40/4000) x 100} %
= (0.01 x 100) %
Gain % = 1%
(ii) Given SP = Rs. 1272, loss = Rs. 328
Loss = CP – SP
Hence, CP = Loss+ SP
= Rs. 328 + Rs. 1272
= Rs. 1600
Loss % = {(Loss/CP) x 100} %
= {(328/1600) x 100%
Loss % = 20.5%
(iii) Given SP = Rs. 1820, gain = Rs. 420
Gain = SP – CP
CP = 1820 – 420
= Rs. 1400
Gain % = {(Gain/CP) x 100} %
= {(420/1400) x 100 %
Gain % = 30%
5. Find the gain or loss percent, when:
(i) C.P. = Rs 2300, Overhead expenses = Rs 300 and gain = Rs 260.
(ii) C.P. = Rs 3500, Overhead expenses = Rs 150 and loss = Rs 146
Solution:
(i) Given CP = Rs. 2300, overhead expenses = Rs. 300 and gain = Rs. 260
We know that Gain % = {(Gain/ (CP + overhead expenses)} x 100
= {260/ (2300 + 300} x 100
= {260/2600} x 100
Gain = 10%
(ii) Given CP = Rs. 3500, overhead expenses = Rs. 150 and loss = Rs. 146
We know that Loss % = {(Loss/ (CP + overhead expenses)} x 100
= {146/ (3500+ 150)} x 100
= {146/3650} x 100
= 14600/3650
Loss = 4%
6. A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost
him Rs 250 and his total overhead charges for transportation, etc. were Rs 1000 find
his total profit and the selling price of 600 quintals of rice.
Solution:
Given Cost of 1 quintal of rice = Rs. 250
Cost of 600 quintals of rice = 600 x 250 = Rs. 150000
Overhead expenses = Rs. 1000
CP = Rs. (150000 + 1000) = Rs. 151000
Profit % = (Profit/CP) x 100
7 = (Profit /151000) x 100
Profit = 1510 x 7
Profit = Rs. 10570
Now SP = CP + profit
= Rs. (151000 + 10570)
SP = Rs. 161570
7. Naresh bought 4 dozen pencils at Rs 10.80 a dozen and sold them for 80 paise each.
Find his gain or loss percent.
Solution:
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FAQs on Profit and Loss RD Sharma Solutions - Mathematics (Maths) Class 7
| 1. What is the formula to calculate profit in profit and loss? |  |
Ans. The formula to calculate profit in profit and loss is:
Profit = Selling Price - Cost Price
| 2. How do you calculate the selling price if the cost price and profit percentage are given? | |
Ans. To calculate the selling price when the cost price and profit percentage are given, you can use the following formula:
Selling Price = Cost Price + (Profit Percentage/100) * Cost Price
| 3. What is the formula to calculate the cost price if the selling price and profit percentage are given? | |
Ans. The formula to calculate the cost price when the selling price and profit percentage are given is:
Cost Price = Selling Price / (1 + (Profit Percentage/100))
| 4. How do you calculate the profit percentage if the cost price and selling price are given? | |
Ans. To calculate the profit percentage when the cost price and selling price are given, you can use the following formula:
Profit Percentage = ((Selling Price - Cost Price) / Cost Price) * 100
| 5. How can I find the cost price if the selling price and profit are given? | |
Ans. To find the cost price when the selling price and profit are given, you can use the following formula:
Cost Price = Selling Price - Profit
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