Profit and Loss
- By selling a basket for $ 19.50, a shopkeeper gains 30%. For how much should he sell it to gain 40 %?
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Let CP of basket be $ y.
∴ 130% of y = 19.50⇒ 130 × y = 19.50 100 ⇒ y = 19.50 × 100 = $ 15 130
For 40% gain,SP = 140 × 15 = $ 21 100
We can find required answer with the help of given formula :C.P. = C.P 
100 + profit% 
100 C.P. = 19.50 × 100 100 + 30 C.P. = 1950 = Rs. 15 130 New S.P. = C.P × 100 + profit% 100
Correct Option: A
Let CP of basket be $ y.
∴ 130% of y = 19.50⇒ 130 × y = 19.50 100 ⇒ y = 19.50 × 100 = $ 15 130
For 40% gain,SP = 140 × 15 = $ 21 100
We can find required answer with the help of given formula :C.P. = C.P 100 + profit% 100 C.P. = 19.50 × 100 100 + 30 C.P. = 1950 = Rs. 15 130 New S.P. = C.P × 100 + profit% 100 New S.P. = 15 100 + 40 100 New S.P. = 15 × 140 100 New S.P. = 210 = $ 21 10
- If a man were to sell his chair for $ 720, he would lose 25%. To gain 25% he should sell it for
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Given that , SP of chair = $ 720
For 25% loss ,CP of chair = 100 × 720 = $ 960 75 To gain 25% , SP = 125 × 960 = $ 1200 100
We can find required answer with the help of given formula :C.P. = S.P. 100 100 - Loss% C.P. = 720 × 100 100 - 25 C.P. = 72000 = Rs. 960 75
Correct Option: A
Given that , SP of chair = $ 720
For 25% loss ,CP of chair = 100 × 720 = $ 960 75 To gain 25% , SP = 125 × 960 = $ 1200 100
We can find required answer with the help of given formula :C.P. = S.P. 100 100 - Loss% C.P. = 720 × 100 100 - 25 C.P. = 72000 = Rs. 960 75 New S.P. = C.P. 100 + profit% 100 New S.P. = 960 × 125 = Rs. 1200 100
- On selling an article for $ 170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at :
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Here , S.P. of article = $ 170
For loss 15% ,C.P. of article = 170 × 100 = $ 200 85 ∴ Required S.P. = 200 × 120 = $ 240 100
We can find required answer with the help of given formula :C.P. = S P 100 100 - Loss% C.P. = 170 × 100 100 - 15 C.P. = 17000 = Rs. 200 85 New S.P. = C.P 100 + Profit% 100
Correct Option: C
Here , S.P. of article = $ 170
For loss 15% ,C.P. of article = 170 × 100 = $ 200 85 ∴ Required S.P. = 200 × 120 = $ 240 100
We can find required answer with the help of given formula :C.P. = S P 100 100 - Loss% C.P. = 170 × 100 100 - 15 C.P. = 17000 = Rs. 200 85 New S.P. = C.P 100 + Profit% 100 New S.P. = 200 100 + 20 100 New S.P. = 200 × 120 = $ 240 100
- A man sells a car to his friend at 10% loss. If the friend sells it for $ 54,000 and gains 20%, the original cost price of the car was
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If the initial C.P. of car be Rs. y, then
∴ First S.P. at 10% loss = 9y 10 ∴ 9y × 120 = 54000 10 100
Correct Option: D
If the initial C.P. of car be Rs. y, then
∴ First S.P. at 10% loss = 9y 10 ∴ 9y × 120 = 54000 10 100 ⇒ y = 54000 × 1000 = $ 50000 9 × 120
- By selling a fan for $ 600, a man loses 10%. To make a gain of 20%, the selling price of the fan should be
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Given in question , S.P. of fan = $ 600
C.P. of fan = $ 600 × 100 90 ∴ Required S.P. = 600 × 100 × 120 = $ 800 90 100
We can find required answer with the help of given formula :C.P. = S P 100 100 - Loss% C.P. = 600 × 100 100 - 10 C.P. = 60000 90 C.P. = 6000 9 New S.P. = C.P. × 100 + profit% 100
Correct Option: D
Given in question , S.P. of fan = $ 600
C.P. of fan = $ 600 × 100 90 ∴ Required S.P. = 600 × 100 × 120 = $ 800 90 100
We can find required answer with the help of given formula :C.P. = S P 100 100 - Loss% C.P. = 600 × 100 100 - 10 C.P. = 60000 90 C.P. = 6000 9 New S.P. = C.P. × 100 + profit% 100 New S.P. = 6000 100 + 20 9 100 New S.P. = 60 × 120 = $ 800 9
