Question

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?

• A. \(25\%\)
• B. \(33.33\%\)
• C. \(50\%\)
• D. \(66.67\%\)

Answer 1

The Correct Option is C

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%.