Question:
By selling an article for Rs 450, a man loses 10%. At what price should he sell it to gain 20%?
By selling an article for Rs 450, a man loses 10%. At what price should he sell it to gain 20%?
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Find the cost price first, then apply the target 20% gain.
Updated On: Jul 8, 2026
- 540
- 560
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- 600
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The Correct Option is D
Solution and Explanation
Step 1: Recover the cost price from the loss.
A 10% loss means \(\text{SP} = 90\%\) of CP: \[\text{CP} = \dfrac{450}{0.90} = 500\] Step 2: Apply the desired 20% gain.
\[\text{New SP} = 1.20 \times 500 = \boxed{600}\]
A 10% loss means \(\text{SP} = 90\%\) of CP: \[\text{CP} = \dfrac{450}{0.90} = 500\] Step 2: Apply the desired 20% gain.
\[\text{New SP} = 1.20 \times 500 = \boxed{600}\]
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