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A milk seller has a milk of Rs.100 per litre. In what ratio should water be mixed in that milk, so that after selling the mixture at Rs.80 per litre, he may get a profit of 50%?

A) 7:8
B) 7:9
C) 9:7
D) 7:5

Correct Answer:

A) 7:8

Description for Correct answer:

Here, SP of milk = Rs.80

and gain = 50%

Therefore, CP of milk = \( \Large \frac{100}{150} \times 80 \)

Because, CP = \( \Large \left[ \frac{100}{ \left(100+gain\%\right) \times SP } \right] \)

= \( \Large Rs.\frac{160}{3} per \ litre \)

Part of solved Mixture and Allegation questions and answers : >> Aptitude >> Mixture and Allegation

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Similar Questions

1). How many kilograms of tea worth Rs.25 per kg must be blended with 30 kg of tea worth Rs.30 per kg, so that by selling the blended variety at Rs.30 per kg, there should be a gain of 10%?

A). 36 kg

B). 40 kg

C). 32 kg

D). 42 kg

2). In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21, respectively. In what proportion should the two types be mixed, so that the ratio of chromium to steel in the mixed type become 7 : 32?

A). 1:2

B). 1:3

C). 2:3

D). 3:4

3). A vessel is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55% and has 16 L mixture. Find the quantity of milk and water in this mixture.

A). Milk = 100 L; Water = 60 L

B). Milk = 50 L; Water = 110 L

C). Milk = 70 L; Water = 90 L

D). Milk = 60 L; Water: 100 L

4). A butler stole wine from a butt of sherry which contained 80% of spirit and he replaced it by wine containing only 32% spirit. Then, the butt was of 48% strength only. How much of the butt did he steal?

A). \( \Large \frac{1}{4} \)

B). \( \Large \frac{3}{5} \)

C). \( \Large \frac{2}{5} \)

D). \( \Large \frac{2}{3} \)

5). in a mixture of 60 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1:2, then the amount of water (in litres) to be added to the mixture is

A). 55

B). 60

C). 50

D). 45

6). Tea worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be

A). Rs.169.5

B). Rs.170.0

C). Rs.175.5

D). Rs.180.0

7). A butler stole wine from a butt of sherry which contains 15% of spirit and he replaced what he had stolen by wine containing 6% of spirit. The butt was then 9% strong only. How much of the butt did he steal?

A). \( \Large \frac{2}{3} \)

B). \( \Large \frac{1}{3} \)

C). \( \Large \frac{2}{5} \)

D). \( \Large \frac{3}{5} \)

8). 4 L are drawn from a container full of milk and then is filled with water. This operation is performed three more times. The ratio of the quantity of milk left in the container and that of water is 16:65. How much milk did the container hold initially?

A). 24 L

B). 12 L

C). 15 L

D). 25 L

9). A container is filled with liquid, 6 part of which are water and 10 part milk. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk?

A). \( \Large \frac{1}{3} \)

B). \( \Large \frac{1}{7} \)

C). \( \Large \frac{1}{5} \)

D). \( \Large \frac{1}{8} \)

10). A container contains a mixture of two liquids A and B in the ratio of 7 : 5. When 9 L of mixture is drawn off and the container is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the container initially?

A). 10

B). 20

C). 21

D). 25