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

Question : 1

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

Question : 2

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 : 3

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