Multiple choice

Deepak sells an item at a loss of 25%. If the selling price of the item is increased by Rs. 62, there will be a gain of 6%. Find the cost price of the item.

  1. Rs. 200

  2. Rs. 225

  3. Rs. 280

  4. Rs. 315

  5. Rs. 354
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = x. SP1 = 0.75x. SP2 = 1.06x. 1.06x - 0.75x = 62. 0.31x = 62. x = 62 / 0.31 = 200.

AI explanation

Let the cost price of the item be 100%, which means the initial selling price at a 25% loss is 75% of the cost price. Increasing this selling price to achieve a 6% gain brings the selling price to 106% of the cost price, making the Rs. 62 increase equivalent to 31% of the cost price. Setting up the equation 31% equals Rs. 62 gives a total cost price of Rs. 200.

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