Profit and Loss
- A trader sells an article at a profit of 15%. If he had bought it for 15% less and had sold it for $ 7.80 less, he would have gained 20%. Find the cost price of the article.
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Let C.P. of the article = $ 100
∴ The first selling price = $ 100 + $ 15 = $ 115
Now, C.P. = 100 – 15 = $ 85S.P.= $ 
85 × 120 
= $ 102 100
Difference in S.P. = $ 115 – $ 102 = $ 13
∵ If difference is $ 13, then C.P. = $ 100∴ If difference is $ 78 ,then 10
Correct Option: C
Let C.P. of the article = $ 100
∴ The first selling price = $ 100 + $ 15 = $ 115
Now, C.P. = 100 – 15 = $ 85S.P.= $ 85 × 120 = $ 102 100
Difference in S.P. = $ 115 – $ 102 = $ 13
∵ If difference is $ 13, then C.P. = $ 100∴ If difference is $ 78 ,then 10 C.P. = 100 × 78 = $ 60 13 10
- Ramesh bought two boxes for $ 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.
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Given in question , Total price of two boxes = 1300
Let CP of one box = y
Then CP of other box = (1300 – y)
Profit on 1st box = 20%∴ SP of 1st box = y + 20 y 100 SP of 1st box = 100y + 20y = Rs. 120y 100 100
Loss on 2nd box = 12%
∴ SP of 2nd box = CP – LossSP of 2nd box = (1300 – y) – 12 (1300 – y) 100 SP of 2nd box = (1300 - y) 1 - 12 100 SP of 2nd box = (1300 – y) × 88 100 SP of 2nd box = 1144 - 88y 100
But SP of both boxes is same⇒ 120y = 1144 - 88y 100 100
Correct Option: B
Given in question , Total price of two boxes = 1300
Let CP of one box = y
Then CP of other box = (1300 – y)
Profit on 1st box = 20%∴ SP of 1st box = y + 20 y 100 SP of 1st box = 100y + 20y = Rs. 120y 100 100
Loss on 2nd box = 12%
∴ SP of 2nd box = CP – LossSP of 2nd box = (1300 – y) – 12 (1300 – y) 100 SP of 2nd box = (1300 - y) 1 - 12 100 SP of 2nd box = (1300 – y) × 88 100 SP of 2nd box = 1144 - 88y 100
But SP of both boxes is same⇒ 120y = 1144 - 88y 100 100 ⇒ 120y + 88y = 1144 100 100 ⇒ 208y = 1144 100 ⇒ y = 1144 × 100 = 550 208
∴ Cost price of 1st box = $ 550
and cost price of another box = $ 1300 – $ 550 = $ 750
- If the selling price of 20 articles is the same as the cost price of 23 articles, find the profit percent.
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Let the, SP of 20 articles be x.
then, SP of 1 articles = x 20
Also the cost price of 23 articles = xThen, CP of 1 article = x 23
Profit = SP – CPProfit = x - x = 23x - 20x = 3x 20 23 460 460 Profit % = Profit × 100 CP
Correct Option: A
Let the, SP of 20 articles be x.
then, SP of 1 articles = x 20
Also the cost price of 23 articles = xThen, CP of 1 article = x 23
Profit = SP – CPProfit = x - x = 23x - 20x = 3x 20 23 460 460 Profit % = Profit × 100 CP Profit % 
Profit % = 3x × 23 × 100 = 15% 460 x
- A compact disc player when sold for $ 13,600 incurred a loss of 15 percent. At what price should it have been sold to make a profit of 35 percent on the cost?
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Given that , SP of a compact disc player = $ 13,600
CP of a compact disc player at a loss 15% = 13600 × 100 = Rs. 16000 85
Correct Option: A
Given that , SP of a compact disc player = $ 13,600
CP of a compact disc player at a loss 15% = 13600 × 100 = Rs. 16000 85 SP for a gain of 35% = 16000 × 135 = Rs. 21600 100
- If sweets are bought at 15 for a rupee, how many must be sold for a rupee to gain 25%?
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Here , C.P. of 15 sweets = 1 rupee
For gain 25% ,Required answer = 15 × 100 125
Correct Option: C
Here , C.P. of 15 sweets = 1 rupee
For gain 25% ,Required answer = 15 × 100 = 12 125
Hence , required answer is 12 .
