Amit bought a piano and sold it to Gopal at a profit of 5%. Gopal sold it to Akshay at a loss of 25%. If Akshay paid ₹1890, then the cost price (in ₹) of the piano Amit bought is

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This question was previously asked in

SSC GD Constable 2025 Official Paper (Held On: 06 Feb, 2025 Shift 1)

Answer 1

Given:

Amit bought a piano and sold it to Gopal at a profit of 5%.

Gopal sold it to Akshay at a loss of 25%.

Akshay paid ₹1890.

Formula used:

Let the cost price of the piano Amit bought be ₹x.

Final selling price = Cost price × (1 + Profit%/100) × (1 - Loss%/100)

Calculations:

Akshay's price = Amit's cost price × (1 + 5/100) × (1 - 25/100)

₹1890 = x × (1 + 0.05) × (1 - 0.25)

⇒ ₹1890 = x × 1.05 × 0.75

⇒ ₹1890 = x × 0.7875

⇒ x = ₹1890 / 0.7875

⇒ x = ₹2400

∴ The correct answer is option (3).

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