Multiple choice

A bought an article for Rs. 5400 and sold it at a loss of 30%. With this amount, he bought another article and sold it at a gain of 60%. What was his overall percentage gain or percentage loss?

  1. Gain, 1.2%

  2. Gain, 12%

  3. Loss, 12%

  4. Loss, 1.2%

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

Initial amount = 5400. After 30% loss, remaining = 5400 * 0.7 = 3780. After 60% gain, final = 3780 * 1.6 = 6048. Total gain = 6048 - 5400 = 648. Percentage gain = (648/5400) * 100 = 12%.

AI explanation

A bought the article for Rs. 5400 and sold it at a 30% loss, meaning the selling price was 70% of 5400, which is Rs. 3780. He used this Rs. 3780 to buy another article and sold it at a 60% gain, making the final selling price 160% of 3780, which equals Rs. 6048. To find the overall percentage gain, use the formula for profit percentage: ((6048 minus 5400) divided by 5400) multiplied by 100. This results in an overall gain of 12%.