# Quant Quiz – Alligations & Mixtures – 8

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1. How much water must be added to a cask which contains 40 litres of milk at cost price ₹ 3.5/litres so that the cost of milk reduces to ₹ 2/litre?

(a) 20

(b) 35

(c) 45

(d) 50

(e) None of these

Answer

Option: E

Explanation:

1. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is ___________.

(a) 10%

(b) 15%

(c) 20%

(d) 25%

(e) None of these

Answer

Option: D

Explanation:

1. A can contains a mixture of two liquids A and B in proportion 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

(a) 20 l

(b) 21 l

(c) 30 l

(d) 36 l

(e) None of these

Answer

Option: D

Explanation:

1. In a mixture of 60 litres, the ratio of milk to water is 2 : 1. If the ratio of milk to water is to be 1 : 2, then amount of water to be further added is ___________.

(a) 20

(b) 40

(c) 60

(d) 80

(e) None of these

Answer

Option: D

Explanation:

1. In what ratio must a person mix three kinds of wheat costing him ₹ 1.20, ₹ 1.44 and ₹ 1.74 per kg, so that the mixture may be worth ₹ 1.41 per kg?

(a) 1 : 2 : 3

(b) 4 : 5 : 7

(c) 12 : 7 : 7

(d) 13 : 7 : 9

(e) None of these

Answer

Option: C

Explanation:

1. In three vessels each of 10 litres capacity, mixture of milk and water is filled. The ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

(a) 181 : 49

(b) 101 : 49

(c) 121 : 59

(d) 131 : 69

(e) None of these

Answer

Option: C

Explanation:

1. Milk and water are mixed in a vessel A in the proportion 5 : 2, and in vessel B in the proportion 8 : 5. In what proportion should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the proportion of 9 : 4?

(a) 4 : 5

(b) 5 : 7

(c) 7 : 2

(d) 7 : 9

(e) None of these

Answer

Option: C

Explanation:

1. A butler stores wine from a butt of sherry which contained30% of spirit and he replaced what he had stolen by wine containing only 12% of spirit. The butt was then 18% strong only. How much of the butt did he steal?

(a) 1/3

(b) 2/5

(c) 2/3

(d) 4/7

(e) None of these

Answer

Option: C

Explanation:

1. Jayashree purchased 150 kg of wheat of the rate of ₹ 7 per kg. She sold 50 kg at a profit of 10%. At what rate per kg should she sell the remaining to get a profit of 20% on the total deal?

(a) 6.50

(b) 8.75

(c) 7.50

(d) 9.75

(e) None of these

Answer

Option: B

Explanation:

1. A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid A was contained in the jar?

(a) 12 l

(b) 14 l

(c) 16 l

(d) 20 l

(e) None of these

Answer

Option: D

Explanation:

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