Multiple choice

By selling a music system for Rs. $9000$ Rahul incurred a loss of $10$%. Had he sold it at Rs. $12000$, what would be his loss or profit percent?

  1. $12\%$
  2. $200\%$
  3. $120\%$
  4. $20\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Selling for 9000 at 10% loss means 0.9*CP = 9000, so CP = 10000. Selling for 12000 means a profit of 2000. Profit % = (2000/10000) * 100 = 20%.

AI explanation

Using the cost price formula Cost Price = Selling Price * 100 / (100 - Loss Percent), the cost price is 9000 * 100 / 90 = Rs 10000. If sold for Rs 12000, the new profit is 12000 - 10000 = Rs 2000. Applying the profit percent formula (Profit / Cost Price) * 100 gives (2000 / 10000) * 100 = 20%.