Multiple choice

A wholesaler sold a water purifier at a loss of 40%. If the selling price had been increased by Rs. 125, he would have gained 10%. What was the cost price of the purifier?

  1. Rs. 250

  2. Rs. 225

  3. Rs. 275

  4. Rs. 300

  5. N/a

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be x. Loss of 40% means SP = 0.6x. Gain of 10% means SP = 1.1x. Difference = 0.5x = 125. So x = 250.

AI explanation

Let the cost price be CP, so the initial selling price at a 40% loss is 0.60 CP. If this is increased by Rs. 125, the new selling price becomes 0.60 CP plus 125, which corresponds to a 10% gain or 1.10 CP. Equating the two expressions gives 1.10 CP minus 0.60 CP equals 125, so 0.50 CP equals 125, and the cost price is Rs. 250.