Question 6

A man sold $$\dfrac{3}{5}^{th}$$ of his articles at a gain of 20% and the remaining at the cost price. The gain earned in the transaction is

Solution

Let the total number of articles be 5X, and the price of each article be P.

Thus the overall Cost Price (CP) = $$5PX$$.

$$\dfrac{3}{5}^{th}$$ of the articles are sold at a gain of 20% and the remaining at the original price.

Thus the overall Selling Price (SP) = $$3X(1.2P)+2X(P)=5.6PX$$

Thus overall gain % = $$\dfrac{5.6PX-5PX}{5PX}\times100$$

Thus overall gain % = $$12\%$$

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