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A man sold his furniture at a 25% gain. Had he sold at 15% loss. He would have received ₹ 800 less. Find cost price of the furniture.
Question

A man sold his furniture at a 25% gain. Had he sold at 15% loss. He would have received ₹ 800 less. Find cost price of the furniture.

A.

Rs. 1,500

B.

Rs. 3,000

C.

Rs. 2,000

D.

Rs 2,500

Correct option is C

Given:

Gain = 25%

Loss = 15%

Difference in amount = ₹800

Solution:

Let the cost price of the furniture be ₹ x.

Selling price when the man sells at a 25% gain:

Selling Price at 25% gain = x+(25100)×xx + (\frac{25}{100}) \times x​ = 1.25x

Selling price when the man sells at a 15% loss:

Selling Price at 15% loss = x(15100)×xx - (\frac{15}{100}) \times x​ = 0.85x

According to the problem, the difference between the two selling prices is ₹800:

1.25x - 0.85x = 800

0.40x = 800

x = 800 / 0.40 = 2000

The cost price of the furniture is ₹ 2000.

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