In what ratio, sugar costing ₹78 per kg be mixed with sugar costing ₹46 per kg such that by selling the mixture at ₹75 per kg there is a gain of 20%?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 33 : 31.
Cost price of type 1 sugar = ₹78
Cost price of type 2 sugar = ₹46
Selling price of total sugar = ₹75
Profit on selling overall sugar = 20%
CP = SP × 100/(100 + P)
According to the given question,
Cost price of total mixture = 75 × 100/120
⇒ 62.5
Now, using the method of alligation,
Now, ratio of the misture is 33 : 31.