How many kilograms of sugar costing ₹50 per kg must be mixed with 30 kg of sugar costing ₹35 per kg so that a 20% gain may be obtained by selling the mixture at ₹48 per kg?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 15 kg.
Let the required amount of sugar be x kg.
Total CP = 50x + 1050
SP = (x + 30) × 48
Given, (50x + 1050) × 120/100 = (x + 30) × 48
⇒ 50x + 1050 = 40x + 1200
⇒ 10x = 150
⇒ x = 15