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?

Answer 1

To gain a 20% profit on the whole investment, the remaining goods must be sold at a profit of approximately 23.33%.

Step-by-step explanation:

To solve this problem, let's break it down step by step:

1. The total cost of the set of goods is rs. 1,000.
2. One-fourth of the goods are sold at a loss of 10%. So, 1/4 of rs. 1,000 is rs. 250. The loss on this sale is 10% of rs. 250, which is rs. 25.
3. The remaining three-fourths of the goods must be sold at a certain percentage to gain 20% on the whole investment.
4. In order to gain 20% on the whole investment, the total profit needed is 20% of rs. 1,000, which is rs. 200.
5. If we subtract the loss of rs. 25 from the required profit of rs. 200, we get rs. 175.
6. The remaining three-fourths of the goods, which is rs. 750, must be sold at a profit of rs. 175 in order to gain 20% on the whole investment.
7. To find the percentage profit, we divide rs. 175 by rs. 750 and multiply by 100.

Therefore, the remaining goods must be sold at a profit of approximately 23.33% in order to gain 20% on the whole investment.