How many kilograms of rice costing ₹52 per kg must be mixed with 35 kg of rice costing ₹45 per kg so as to get a gain of 10% by selling the resulting mixture of rice at the rate of ₹55 per kg?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 87.5kg.
CP of the mixture = (100/110) × 55 = 50/kg
Let the amount of rice costing ₹52 per kg = x kg
52x + 1575 = 50(x + 35)
⇒ 52x + 1575 = 50x + 1750
⇒ 2x = 175
⇒ x = 175/2 = 87.5
Therefore, 87.5 kilograms of rice costing ₹52 per kg must be mixed.