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Q:

If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

A) 2 : 5	B) 1 : 5
C) 2 : 3	D) 2 : 1

Answer & Explanation Answer: A) 2 : 5

Explanation:

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Filed Under: Alligation or Mixture
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Q:

A merchant buys 25 litres of milk daily at the rate of Rs.12 per litre. He mixes 5 litres of water in it and sells at the rate Rs.10.40 per litre. His gain/loss is:

A) 8% profit	B) 2% profit
C) 4% profit	D) 6% profit

Answer & Explanation Answer: C) 4% profit

Explanation:

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Q:

A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre, then what is the profit percentage for the dealer?

A) 17.2	B) 14.4
C) 16.6	D) 15.5

Answer & Explanation Answer: D) 15.5

Explanation:

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Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?

A) 22.5%	B) 25%
C) 20%	D) 33.33%

Answer & Explanation Answer: B) 25%

Explanation:

As water costs free, water sold at cost price of milk gives the profit.

Required profit % = 5/20 x 100 = 5 x 5 = 25%.

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Q:

If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain ?

A) 25%	B) 30%
C) 17%	D) 19%

Answer & Explanation Answer: A) 25%

Explanation:

He has gain = 15 - 12 = 3,
Gain% = (3/12) x 100 = (100/4) = 25.
He has 25% gain.

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Q:

A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A) 25%	B) 21.14%
C) 22.54%	D) 27.32%

Answer & Explanation Answer: C) 22.54%

Explanation:

C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.

S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500.

Profit = 1500 - 1224 = Rs.276

Profit % = $\frac{P r o f i t}{C . P} \times 100$ = $\frac{276}{1224} \times 100$ = 22.54%.

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Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, is:

A) 20%	B) 25%
C) 33.33%	D) 18%

Answer & Explanation Answer: B) 25%

Explanation:

When the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 litres of milk.

Since, the profit % = $\frac{P r o f i t}{C o s t P r i c e} x 100$

Therefore, profit percentage = $\frac{5}{20} x 100$ = 25%

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Q:

A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?

A) 116%	B) 166.66%
C) 60%	D) 100%

Answer & Explanation Answer: B) 166.66%

Explanation:

Let the cost price of 1-liter pure milk be Re.1, then

$\{\begin{cases} 6 l i t e r s (m i l k) \to C . P = R s . 6 \\ 2 l i t e r s (w a t e r) \to C . P = R s . 0 \end{cases} \to C P = R s . 6 o n l y$

8 litre mixture =>

SP => 8 x 2 = Rs. 16

Profit % = $\frac{16 - 6}{6} x 100 = \frac{1000}{6} = 166.66 %$

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Filed Under: Profit and Loss
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