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

Question : 1

In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?

a) 3 : 2

b) 5 : 3

c) 3 : 1

d) 4 : 3

e) None of these

Answer: (c)

By the rule of alligation:

∴ Required ratio = 750 : 250 = 3 : 1.

Question : 2

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 : 3

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 : 4

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 : 5

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

Question : 6

Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?

a) 3 : 2

b) 4 : 5

c) 1 : 2

d) 2 : 3

e) None of these

Answer: (a)

∴ Gold : Copper = 6 : 4 = 3 : 2