Alligation & Mixtures Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

Jayashree purchased 150 kg of wheat of the rate of Rs. 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) 8.75

b) 9.75

c) 6.50

d) 7.50

e) None of these

Question : 2

In what ratio should milk and water be mixed so that after selling the mixture at the cost price a profit of 2 16 % 3 is made?

a) 1 : 6

b) 2 : 5

c) 1 : 2

d) 2 : 3

e) None of these

Question : 3

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) 15%

b) 25%

c) 10%

d) 20%

e) None of these

Answer: (b)

We will apply alligaton on % profit. If he sells the milk at CP,

he gains 0%. But if he sells water at CP, he gains 100%.

Ratio of milk to water in the mixture should be 3 : 1

∴ % of water in mixture = $1/{3 + 1}$ × 100 = 25%

Question : 4

A container contained 80 kg of milk. From this container, 8 kg of milk was taken out and replaced by water. This process was further repeated two times. How much milk is now contained by the container?

a) 56 kg

b) 59.46 kg

c) 48 kg

d) 58.32 kg

e) None of these

Question : 5

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

a) 2 : 3

b) 4 : 5

c) 1 : 3

d) 3 : 4

e) None of these

Answer: (a)

By the rule of alligation:

∴ Required rate = 60 : 90 = 2 : 3

Question : 6

In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

a) 2 : 1

b) 3 : 2

c) 1 : 2

d) 2 : 3

e) None of these

Answer: (c)

By the rule of alligation:

Ratio of water to milk = 4 : 8 = 1 : 2