Multiple choice

A man sold a DVD player at a profit of 20%. Had he bought it at 25% less and sold it for Rs. 840 less, he would have gained 10%. What was the cost price of the DVD player?

  1. Rs. 2240

  2. Rs. 2100

  3. Rs. 2320

  4. Rs. 2760

  5. None of these

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

Let CP = x. Initial SP = 1.2x. New CP = 0.75x. New SP = 1.2x - 840. Profit = 10%, so 1.1 * (0.75x) = 1.2x - 840. 0.825x = 1.2x - 840. 0.375x = 840. x = 2240.

AI explanation

Let the original cost price be 100, making the original selling price 120 to achieve a 20% profit. The new cost price becomes 75 due to the 25% reduction, and a 10% gain on this new cost makes the new selling price 82.5. The difference between the original and new selling prices is 120 minus 82.5, which equals 37.5, and since this difference corresponds to 840, the original cost price is calculated as 840 divided by 37.5 and multiplied by 100, resulting in a cost price of 2240.