The marked price of a bicycle is 10,000. Manish bought the bicycle during the summer sale for a discount of \(33.33\%\). If Manish later sold the bicycle to Rahul for a price equal to the original marked price of the bicycle, then what was the percentage of profit earned by Manish?
- \(25\%\)
- \(33.33\%\)
- \(50\%\)
- \(66.67\%\)
The Correct Option is C
Solution and Explanation
Step 1: Calculate the price at which Manish bought the bicycle.
Discounted Price:
\[ 10000 - \frac{33.33}{100} \times 10000 = 10000 - 3333.33 = 6666.67 \]
Step 2: Manish sold the bicycle for ₹10,000. The profit earned is:
\[ 10000 - 6666.67 = 3333.33 \]
Step 3: Calculate the percentage of profit.
\[ \frac{3333.33}{6666.67} \times 100 = 50\% \]
Conclusion: The profit percentage is 50%.
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