Question

The profit earned after selling an article for Rupees 996 is the same as the loss incurred after selling the article for Rupees 894. What is the cost price of the article?

• A. Rupees 935
• B. Rupees 905
• C. Rupees 945
• D. Rupees 975

Hint:

When equal profit and loss are mentioned at two selling prices, the cost price is simply the \emph{midpoint} of those prices: \(C=\frac{SP_1+SP_2}{2}\).

Answer 1

The Correct Option is C

Step 1: Set up the equation.
Let cost price be \(C\).
Profit at Rupees 996 \(=996-C\).
Loss at Rupees 894 \(=C-894\).
Given equal: \(996-C=C-894\). Step 2: Solve for \(C\).
\[ 996+894=2C \Rightarrow 1890=2C \Rightarrow C=945. \] \[ \boxed{Rupees \;945} \]