Question

A shopkeeper bought 150 calculators at the rate of Rs. 250 per calculator. He spent Rs. 2500 on transportation and packing. If the marked price of a calculator is Rs. 320 per calculator and the shopkeeper gives a discount of 5% on the marked price, then what will be the percentage profit gained by the shopkeeper?

Answer 1

Correct Answer: 3

Concept: Profit %: \[ \text{Profit %} = \frac{\text{Profit}}{\text{Cost Price}} \times 100 \]
Step 1: Find total cost price.
\[ \text{Cost of calculators} = 150 \times 250 = 37500 \] \[ \text{Total CP} = 37500 + 2500 = 40000 \]
Step 2: Find selling price per calculator.
\[ \text{Discount} = 5% \text{ of } 320 = 16 \] \[ \text{SP per unit} = 320 - 16 = 304 \]
Step 3: Find total selling price.
\[ \text{Total SP} = 150 \times 304 = 45600 \]
Step 4: Find profit.
\[ \text{Profit} = 45600 - 40000 = 5600 \]
Step 5: Find profit %.
\[ \frac{5600}{40000} \times 100 = 14% \]
Step 6: Option analysis.

• (A) 12%: Under-calculated $\times$
• (B) 13%: Incorrect $\times$
• (C) 14%: Correct \checkmark
• (D) 15%: Over-estimated $\times$
• (E) 16%: Incorrect $\times$

Conclusion:
Thus, the correct answer is
Option (C).