In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ?
Explanation:
Let he mixes the oils in the ratio = x : y
Then, the cost price of the oils = 60x + 65y
Given selling price = Rs. 68.20
=Selling price = 68.20(x+y)
Given profit = 10% = SP - CP
=10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y)
= 6x + 6.5y = 8.20x + 3.20y
=2.2x = 3.3y
=x : y = 3 : 2
Hence, option 2 is the correct answer.
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By: Amit Kumar