Question

A trader buys mangos at the rate of 4 mangos for 75 and sells mangos at the rate of 7 mangos for 190. If the trader wants to make a profit of 235, then what is the number of mangos he must buy and sell?

• A. 18
• B. 21
• C. 24
• D. 28

Answer 1

The Correct Option is D

Step 1: Calculate the cost price per mango. The trader buys 4 mangos for ₹75. Therefore, the cost price per mango is:

\[ \text{Cost price per mango} = \frac{75}{4} = 18.75 \text{ yen}. \] 

Step 2: Calculate the selling price per mango. The trader sells 7 mangos for ₹190. Therefore, the selling price per mango is:

\[ \text{Selling price per mango} = \frac{190}{7} \approx 27.14 \text{ yen}. \]

Step 3: Calculate the profit per mango. The profit per mango is the selling price minus the cost price:

\[ \text{Profit per mango} = 27.14 - 18.75 = 8.39 \text{ yen}. \]

Step 4: Calculate the number of mangos to make a total profit of ₹235. To make a profit of ₹235, the number of mangos to be sold is:

\[ \text{Number of mangos} = \frac{235}{8.39} \approx 28. \]

Conclusion: The trader must buy and sell 28 mangos to make a profit of ₹235.