Question

Reena sells an article at 12% below its cost price. Had she sold it for ₹540 more, she would have gained 15%. At what price should she sell the article to gain 20%?

• A. ₹2004
• B. ₹2040
• C. ₹2400
• D. ₹4200

Answer 1

Answer:

C. ₹2400

Let the cost price = (x)

Selling at 12% loss ⇒ SP₁ = (0.88x)

If she sold it for ₹540 more, she gains 15%:
SP₂ = (1.15x)

Given:
$0.88x + 540 = 1.15x$
$540 = 1.15x - 0.88x = 0.27x$
$x = \frac{540}{0.27} = 2000$

Cost price = ₹2000

For 20% gain:
$\text{SP} = 1.20 \times 2000 = 2400$

₹2400