Question

A trader bought 10 kg of apples for 405 out of which 1 kg of apples were found to be rotten. If he wishes to make a profit of 10%, at what rate should he sell the remaining apples per kg?

• A. 45
• B. 49.50
• C. 50
• D. 51

Hint:

Always ensure to account for spoiled or unavailable goods when calculating the selling price per unit. The profit percentage is typically calculated on the cost price (CP). Work step-by-step to avoid errors.

Answer 1

The Correct Option is B

Step 1: Cost price per kg (on the whole 10 kg lot) is \( \frac{405}{10} = 40.50 \).

Step 2: The trader loses 10% of his quantity (1 kg out of 10) and wants to gain 10% on his money, so the price per kg on the remaining stock must be scaled up by the factor \( \frac{100+10}{100-10} = \frac{110}{90} = \frac{11}{9} \).

Step 3: Required rate \( = 40.50 \times \frac{11}{9} = 49.50 \) per kg.
\[ \boxed{Rs.\ 49.50 \text{ per kg}} \]