How many kilogram of rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg so that there may be a gain of 12% by selling the mixture at Rs.56 per kg?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 19.2 kg
Given that
The rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg.
There may be a gain of 12% by selling the mixture at Rs.56 per kg
CP of the mixture = 56 × 25/28 = 50 Rs per kg
Let x kg rice costing Rs 60 per kg
According to the question
60x + 42 ×24 = 50 ×(x + 24)
10x = 8 × 24
x = 19.2 kg