Question

in what ratio must a grocer mix tea at rs. 45 a kg and rs. 62 a kg so that by selling the mixture at rs. 60 a kg, he may gain 20%

Answer 1

Let the price of the mixed variety be Rs. x per kg.

By rule of alligation, we have:

Cost of 1 kg of Type 1 riceCost of 1 kg of Type 2 riceRs. 15Mean Price
Rs. xRs. 20(20 - x)(x - 15)

= >(20 - x)=2(x - 15)3

=> 60 - 3x = 2x - 30

=>5x = 90

= >x = 18.