Question:medium
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?
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?
Show Hint
When equal profit and loss are mentioned at two selling prices, the cost price is simply the midpoint of those prices: \(C=\frac{SP_1+SP_2}{2}\).
Updated On: Jul 16, 2026
- Rupees 935
- Rupees 905
- Rupees 945
- Rupees 975
Show Solution
The Correct Option is C
Solution and Explanation
Step 1: Let profit at Rupees 996 equal loss at Rupees 894, and call this common amount \(k\). Then \(996=\text{CP}+k\) and \(894=\text{CP}-k\).
Step 2: Subtracting these, \(996-894=2k\), so \(k=51\).
Step 3: Substituting back, \(\text{CP}=996-k=996-51\). \[ \boxed{Rupees\ 945} \]
Step 2: Subtracting these, \(996-894=2k\), so \(k=51\).
Step 3: Substituting back, \(\text{CP}=996-k=996-51\). \[ \boxed{Rupees\ 945} \]
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