A person sold an item at a loss of 7%. Had he sold the item at a gain of 7.5%,…

2024

A person sold an item at a loss of 7%. Had he sold the item at a gain of 7.5%, he would have received Rs. 87 more than his selling price. The cost price of the item is :

  1. A.

    500

  2. B.

    550

  3. C.

    600

  4. D.

    650

Attempted by 4 students.

Show answer & explanation

Correct answer: C

Let the Cost Price be x.

Selling Price at 7% loss = 0.93x

Selling Price at 7.5% gain = 1.075x

Difference = 1.075x - 0.93x = 87

0.145x = 87 => x = 600

The Cost Price is Rs. 600.

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