Question

A set of goods together cost Rs. 1,000. One-fourth of it was sold at a loss of 10%. At what per cent must the remainder be sold to gain 20% on the whole investment?

Accepted Answer

A. Total cost = Rs. 1000. Desired profit = $20\%$ of $1000 = 	ext{Rs. } 200$. Total target revenue = Rs. 1200. $\frac{1}{4}$ of goods cost Rs. 250, sold at $10\%$ loss $\Rightarrow$ revenue = $250 	imes 0.9 = 	ext{Rs. } 225$. Remaining revenue needed = $1200 - 225 = 	ext{Rs. } 975$. Cost of remaining goods = Rs. 750. Gain required on remaining goods = $975 - 750 = 	ext{Rs. } 225$. Percentage gain = $\frac{225}{750} 	imes 100 = 30\%$.

Gain Percentage on Remaining Goods

Explanation

Practise this under exam conditions