An article is sold for Rs. 2000 with profit of 25%. What would have been the percentage of profit, if it was sold for Rs. 1800?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 12.5%
Profit per cent is always worked out on the cost price, so the cost price is found first from the first sale.
A profit of 25% means the selling price is 125% of the cost price: \(\displaystyle CP=2000\times\frac{100}{125}=1600\)
Profit when sold for Rs. 1800: \(1800-1600=200\)
Profit per cent \(\displaystyle =\frac{200}{1600}\times100=12.5\%\)