The marked price of a bed is ₹1,600, which is 25% above the cost price. It is sold at a discount of 16% on the marked price. Find the profit percentage.

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Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 06 Jun, 2025 Shift 2)

Answer 1

Given:

Marked Price (MP) = ₹1,600

Cost Price (CP) = ₹1,600 ÷ (1 + 25/100)

Discount = 16%

Formula used:

Profit Percentage = \(\frac{Selling Price - Cost Price}{Cost Price} × 100\)

Selling Price (SP) = Marked Price × (1 - Discount/100)

Calculation:

CP = ₹1,600 ÷ 1.25

⇒ CP = ₹1,280

SP = ₹1,600 × (1 - 16/100)

⇒ SP = ₹1,600 × 0.84

⇒ SP = ₹1,344

Profit = SP - CP

⇒ Profit = ₹1,344 - ₹1,280

⇒ Profit = ₹64

Profit Percentage = \(\frac{Profit}{CP} × 100\)

⇒ Profit Percentage = \(\frac{64}{1280} × 100\)

⇒ Profit Percentage = 5%

∴ The correct answer is option 2.

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