Question
In a shop there are two varieties of rice, the costlier
rice is Rs.45/kg and cheaper rice is Rs.30/kg. In what ratio should they be mixed so that on selling the mixture at Rs.56 there is a profit of 40%?Solution
Selling price of the mixture = Rs.56 A profit of 40% is earned ∴ Cost price of the object = 56 × (100/140) = 40 Let the quantity of costlier rice and cheaper rice mixed be x and y respectively ⇒ 45x + 30y = 40(x + y) ⇒ 5x = 10y ⇒ x/y = 10/5 or 2 ∶ 1
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