Question

A shopkeeper sold an article for Rs 3750. If he had charged 24% less, even then he would have earned a profit of 14%. What is the original cost of the article?

• A. 2850
• B. 2717
• C. 3289
• D. 2500

Hint:

Remember:
SP = CP + Profit
Use percentage formulas carefully to set up equations and solve.

Answer 1

The Correct Option is D

Let the original cost price (CP) of the article be $x$.
Step 1: Understand the selling price (SP)
Original SP = Rs 3750
If SP was 24\% less:
Reduced SP = $3750 \times (1 - 0.24) = 3750 \times 0.76 = Rs 2850$
Step 2: Profit condition on reduced SP
Even with reduced SP of Rs 2850, the shopkeeper makes a profit of 14\%.
Profit = 14\% of CP
So, $2850 = x + 0.14x = 1.14x$
Step 3: Calculate original CP
$x = \frac{2850}{1.14} = 2500$
Thus, the original cost price is Rs 2500.