Mukesh bought some tables worth Rs. 32,200 and sold one-fourth of them at a profit of 18%. At what percent must he sell the rest of them so as to make a total profit of 30%?

Steps to Solve

1. Calculate the total desired profit To achieve a 30% profit on Rs. 32,200, calculate 30% of 32,200: $$ \text{Total Profit} = 0.30 \times 32200 = 9660 $$

2. Calculate the cost of one-fourth of the tables One-fourth of the tables cost: $$ \frac{1}{4} \times 32200 = 8050 $$

3. Calculate the profit from selling one-fourth of the tables at 18% profit The profit from selling one-fourth of the tables at 18% is: $$ 0.18 \times 8050 = 1449 $$

4. Calculate the remaining profit needed To find out how much profit Mukesh needs to make from the remaining tables, subtract the profit already made from the total profit desired: $$ \text{Remaining Profit} = 9660 - 1449 = 8211 $$

5. Calculate the cost of the remaining tables The cost of the remaining tables is: $$ 32200 - 8050 = 24150 $$

6. Calculate the required profit percentage on the remaining tables To find the profit percentage needed on the remaining tables, divide the remaining profit by the cost of the remaining tables and multiply by 100: $$ \text{Required Profit Percentage} = \frac{8211}{24150} \times 100 = 34% $$