Profit and Loss
- The ratio of cost price and selling price of an article is 20 : 21. Then gain percent on it is
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Given in question , The ratio of cost price and selling price of an article = 20 : 21
Let C.P. of article = Rs. 20k
S.P. of article = Rs. 21k.
Profit = S.P. of article - C.P. of article = 21k - 20k = Rs. k∴ Profit percent = Profit × 100 C.P. of article
Correct Option: B
Given in question , The ratio of cost price and selling price of an article = 20 : 21
Let C.P. of article = Rs. 20k
S.P. of article = Rs. 21k.
Profit = S.P. of article - C.P. of article = 21k - 20k = Rs. k∴ Profit percent = Profit × 100 C.P. of article Profit percent = k × 100 = 5% 20k
- A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or profit is in proportion to their investments)
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Here , Total Loss = Rs. 720
∴ Ratio of sharing of loss = Ratio of investments
Ratio of sharing of loss = 3000 : 2400 = 5 : 4
Sum of the terms of ratio = 5 + 4 = 9Correct Option: B
Here , Total Loss = Rs. 720
∴ Ratio of sharing of loss = Ratio of investments
Ratio of sharing of loss = 3000 : 2400 = 5 : 4
Sum of the terms of ratio = 5 + 4 = 9∴ Loss shared by B = Rs. 
4 × 720 
= Rs. 320 9
- If the ratio of the cost price and the selling price of an article be 4 : 5, then the percentage of profit is :
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Given that , Ratio of the cost price and the selling price of an article be 4 : 5 .
Let the C.P. of article be Rs. 4k.
Its S.P. = Rs. 5k
Profit = Rs. (5k – 4k) = Rs. k∴ Profit percent = Profit × 100 C.P. of article
Correct Option: B
Given that , Ratio of the cost price and the selling price of an article be 4 : 5 .
Let the C.P. of article be Rs. 4k.
Its S.P. = Rs. 5k
Profit = Rs. (5k – 4k) = Rs. k∴ Profit percent = Profit × 100 C.P. of article Profit percent = k × 100 = 25% 4k
- A, B and C enter into a partnership, investing Rs. 6000. A invests Rs. 1000 and B and C invests in the ratio of 2 : 3. Find the profit of C, when the annual profit is Rs. 2400.
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Given that , Total investment by A , B and C = Rs. 6000
Investment by A = Rs. 1000
Ratio of investment of B and C = 2 : 3
Total investment by B and C = 6000 - 1000 = Rs. 5000∴ B’s investment = Rs. 2 × 5000 = Rs. 2000 5 C’s investment = Rs. 3 × 5000 = Rs. 3000 5
Ratio of the equivalent capitals of A, B and C for 1 month = 1000 : 2000 : 3000 = 1 : 2 : 3
Sum of the terms of ratio = 1 + 2 + 3 = 6
Correct Option: B
Given that , Total investment by A , B and C = Rs. 6000
Investment by A = Rs. 1000
Ratio of investment of B and C = 2 : 3
Total investment by B and C = 6000 - 1000 = Rs. 5000∴ B’s investment = Rs. 2 × 5000 = Rs. 2000 5 C’s investment = Rs. 3 × 5000 = Rs. 3000 5
Ratio of the equivalent capitals of A, B and C for 1 month = 1000 : 2000 : 3000 = 1 : 2 : 3
Sum of the terms of ratio = 1 + 2 + 3 = 6∴ C’s share = Rs. 3 × 2400 = Rs. 1200 6
- If the loss percent on an article is 15%, then the ratio of the cost price and the selling price will be :
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Suppose C.P. of article = Rs. 100
On 15% loss ,
S.P. of article = ( 100 - 15 ) = Rs. 85
∴ Required ratio = C.P. of article : S.P. of articleCorrect Option: B
Suppose C.P. of article = Rs. 100
On 15% loss ,
S.P. of article = ( 100 - 15 ) = Rs. 85
∴ Required ratio = C.P. of article : S.P. of article
∴ Required ratio = 100 : 85 = 20 : 17
