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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% ?

Correct Answer: 3:2

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


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