How many kilograms of sugar at ₹3.80 per kg should be mixed with 60 kgs of sugar at ₹4.60 per kg, so that by selling the mixture at ₹5 per kg, there may be gain of 25%?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 180 kg.
Cost price per kg of mixture = Selling price ÷ (1 + Gain%)
Cost price per kg of mixture = 5 ÷ 1.25
Cost price per kg of mixture = 4 per kg
Let quantity of first sugar = x kg
Total cost of mixture = Cost of first sugar + Cost of second sugar
4 × (x + 60) = 3.8 × x + 4.6 × 60
4x + 240 = 3.8x + 276
4x − 3.8x = 276 − 240
0.2x = 36
x = 36 ÷ 0.2
x = 180