A shopkeeper marked his goods at X% above their cost price and sold them at a discount of 10%. If he gained 71% profit, then find the value of X.

Question

Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 09 Jun, 2025 Shift 1)

Answer 1

Given:

A shopkeeper marked his goods at X% above their cost price and sold them at a discount of 10%. He gained 71% profit.

SP = CP × (1 + Profit%)

Profit = 71%

Formula used:

SP = CP × (1 + Profit%)

SP = MP × (1 - Discount%)

Calculation:

Let the cost price (CP) = ₹100

Marked price (MP) = ₹(100 + X)

Discount = 10%

Selling price (SP) = ₹(MP × 90/100)

⇒ SP = 100 × (1 + 71/100) = SP = ₹171

SP = MP × (1 - Discount%)

⇒ 171 = (100 + X) × 90/100

⇒ 171 × 100 = (100 + X) × 90

⇒ 17100 = 90 × (100 + X)

⇒ 17100 - 9000 = 90X

⇒ 8100 = 90X

⇒ X = 8100/90 = 90

∴ The correct answer is option (3).

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