Profit and Loss
- The liquids, X and Y are mixed in the ratio of 3 : 2 and the mixture is sold at Rs. 11 per litre at a profit of 10%. If the liquid X costs Rs. 2 more per litre than Y, the cost of X per litre is (in Rs.) :
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Let 3 litres of liquid X and 2 litres of liquid Y be mixed together.
Let Cost of liquid Y = Rs. p /litre
Cost of liquid Y = Rs. (p + 2)/litre
According to the question,
Cost of the mixture = Rs. (3p + 6 + 2p) = Rs. (5p + 6)∴ (5p + 6) × 110 = 11 × 5 100 ∴ (5p + 6) = 11 × 5 × 10 = 50 11
⇒ 5p = 50 – 6 = 44
Correct Option: A
Let 3 litres of liquid X and 2 litres of liquid Y be mixed together.
Let Cost of liquid Y = Rs. p /litre
Cost of liquid Y = Rs. (p + 2)/litre
According to the question,
Cost of the mixture = Rs. (3p + 6 + 2p) = Rs. (5p + 6)∴ (5p + 6) × 110 = 11 × 5 100 ∴ (5p + 6) = 11 × 5 × 10 = 50 11
⇒ 5p = 50 – 6 = 44⇒ p = 44 = Rs. 8.8 5
∴ Cost of liquid X = p + 2 = 8.8 + 2 = Rs. 10.8/litre
- If an article is sold at 200% profit, then the ratio of its cost price to its selling price will be
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Suppose C.P. = $ 100
S.P. = $ 300 [gain being 200%]
∴ Required ratio = 1 : 3
We can find required answer with the help of given formula :∴ C.P. = 100 S.P. 100 + profit% C.P. = 100 C.P. 100 + 200
Correct Option: C
Suppose C.P. = $ 100
S.P. = $ 300 [gain being 200%]
∴ Required ratio = 1 : 3
We can find required answer with the help of given formula :∴ C.P. = 100 S.P. 100 + profit% C.P. = 100 C.P. 100 + 200 Required ratio = 100 = 1 : 3 300
- A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
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Let the printed price of the book be x.
∴ Selling price = 90% of x = x × 90 = 9x 100 10
Correct Option: D
Let the printed price of the book be x.
∴ Selling price = 90% of x = x × 90 = 9x 100 10
If the CP of the book be y, theny × 112 = 9x 100 10 
- The ratio of cost price and selling price of an article is 8 : 9. The profit percent is
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Let the CP = 8k and SP = 9k
∴ Profit = SP - CP = (9k – 8k) = k∴ Profit % = k × 100 = 25 8k 2 Correct Option: C
Let the CP = 8k and SP = 9k
∴ Profit = SP - CP = (9k – 8k) = k∴ Profit % = k × 100 = 25 = 12.5% 8k 2
- Partha earns 15 percent on an investment but loses 10 percent on another investment. If the ratio of two investments is 3 : 5, then the combined loss percent is
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Let the first investment be 3k
Then second investment be 5k
Combined loss %
Combined loss % = -5k × 100 8k × 100
Correct Option: D
Let the first investment be 3k
Then second investment be 5k
Combined loss %Combined loss % = -5k × 100 8k × 100 Combined loss % = -5 percent or 5 %loss 8 8
[–ve sign shows loss]
