Neeraj sells sarees for ₹3,944 each, after giving two successive discounts of 15% and 20% on its marked price. If he sells a saree giving no discount on its marked price, then he earns a profit of 45%. If he sells a saree for ₹4,496, then his profit percentage will be ___________.

Correct option is B

Given:

• Selling Price after 15% and 20% successive discount = ₹3,944
• Selling Price with no discount on Marked Price (MP) = profit of 45%
• Selling Price = ₹4,496 → we are to find the profit % in this case.

Solution:

Step 1: Let the Marked Price be M

Apply successive discounts:
Net discount % = $$15 + 20 - \left(\frac{15 \times 20}{100}\right) = 35 - 3 = 32\%$$​

So,
Selling Price after discount = 68% of Marked Price
→ 0.68 × M = ₹3,944
=> M = 3944 / 0.68 = ₹5,800

Step 2: Find Cost Price (CP)

When sold at full MRP, profit = 45%
So:

SP = MP = ₹5,800
Profit = 45% =>
Cost Price = SP / 1.45 = 5800 / 1.45 = ₹4,000

Step 3: Now find profit% when Selling Price = ₹4,496

Cost Price = ₹4,000 (fixed)

Profit = SP - CP = 4496 - 4000 = ₹496

Profit % = $$\left(\frac{496}{4000}\right) \times 100 = 12.4\%$$​​

Correct Answer: (B) 12.4%