Profit and Loss
- The cost price of 25 books is equal to the selling price of 20 books. The profit per cent is
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Let the cost price of each book be Re. 1.
∴ C.P. of 20 books = Rs. 20
S.P. of 20 books = Rs. 25
Profit = S.P. - C.P. = 25 - 20 = Rs. 5∴ Profit percent = 
Profit 
× 100 C.P. of 20 books
Correct Option: D
Let the cost price of each book be Re. 1.
∴ C.P. of 20 books = Rs. 20
S.P. of 20 books = Rs. 25
Profit = S.P. - C.P. = 25 - 20 = Rs. 5∴ Profit percent = Profit × 100 C.P. of 20 books Profit percent = 5 × 100 = 25% 20
- A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is
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Let the C.P. of cycle be Rs. y.
Case I,
For loss of 10% ,S.P. of cycle = Rs. 90y 100 S.P. of cycle = Rs. 9y 10
Case II,
From question ,106% of y = 9y + 200 10 ⇒ 106y - 9y = 200 100 10
Correct Option: C
Let the C.P. of cycle be Rs. y.
Case I,
For loss of 10% ,S.P. of cycle = Rs. 90y 100 S.P. of cycle = Rs. 9y 10
Case II,
From question ,106% of y = 9y + 200 10 ⇒ 106y - 9y = 200 100 10 ⇒ 106y - 90y = 200 100 ⇒ 16y = 200 100 ⇒ y = 200 × 100 = Rs. 1250 16
- A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be
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Let the cost price of article be Rs. 100.
∴ First S.P. = Rs. 120
When the selling price be Rs. 240,
Profit = Rs. (240 – 100) = Rs. 140∴ Profit percent = Profit × 100 Cost price of article
Correct Option: D
Let the cost price of article be Rs. 100.
∴ First S.P. = Rs. 120
When the selling price be Rs. 240,
Profit = Rs. (240 – 100) = Rs. 140∴ Profit percent = Profit × 100 Cost price of article Profit percent = 140 × 100 = 140% 100
- By selling a bag at Rs. 230, profit of 15% is made. The selling price of the bag, when it is sold at 20% profit would be
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Let the C.P. of bag be Rs. y.
Selling price of bag = Rs. 230 and profit = 15%
According to the question,y × 115 = 230 100 ⇒ y = 230 × 100 = Rs. 200 115
Correct Option: C
Let the C.P. of bag be Rs. y.
Selling price of bag = Rs. 230 and profit = 15%
According to the question,y × 115 = 230 100 ⇒ y = 230 × 100 = Rs. 200 115
For profit of 20%,S.P. of bag = Rs. 200 × 120 = Rs. 240 100
- The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is :
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Let the C.P. of each banana be Re. 1.
∴ C.P. of 6 bananas = Rs. 6
Their S.P. = Rs. 8
Profit = S.P. - C.P. = 8 - 6 = Rs. 2∴ Profit percent = Profit × 100 C.P. of 6 bananas Profit percent = 2 × 100 6
Correct Option: B
Let the C.P. of each banana be Re. 1.
∴ C.P. of 6 bananas = Rs. 6
Their S.P. = Rs. 8
Profit = S.P. - C.P. = 8 - 6 = Rs. 2∴ Profit percent = Profit × 100 C.P. of 6 bananas Profit percent = 2 × 100 6 Profit percent = 200 = 100 6 3 Profit percent = 33 1 % 3
