In what ratio must a grocer mix two varieties of wheat worth ₹80 per kg and ₹90 per kg so that if he sells the mixture at ₹105 per kg he may gain 25%?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 3 : 2.
Let's assume the ratio of wheat at ₹80/kg to wheat at ₹90/kg is x:y.
Cost price per kg = (80x + 90y) / (x + y)
Selling price per kg = ₹105
Gain = 25%
Cost price per kg = 105 / 1.25 = 84
⇒ (80x + 90y) / (x + y) = 84
⇒ 80x + 90y = 84x + 84y
⇒ 4x = 6y
⇒ x/y = 3/2
The ratio is 3:2.