Question

By selling an article for Rs.990, a trader makes a profit of 12 ½ \%. The cost price of the article in rupees is

• A. 920
• B. 900
• C. 880
• D. 800

Hint:

To calculate the cost price when the selling price and profit percentage are known, use the formula \( C = \frac{\text{Selling Price}}{1 + \frac{\text{Profit \%}}{100}} \).

Answer 1

The Correct Option is C

Let the cost price of the article be \( C \). The selling price is Rs.990, and the profit is 12 ½ \%. This means the profit is \( \frac{1(2)5}{100} \times C \). So, the selling price is the cost price plus the profit: \[ 990 = C + \frac{1(2)5}{100} \times C = C \left(1 + \frac{1(2)5}{100}\right) = C \times (1)125 \] Solving for \( C \): \[ C = \frac{990}{(1)125} = 880 \, \text{rupees}. \]