Question

Even after reducing the marked price by Rs.32, a shopkeeper makes a profit of 15%. If the cost price (C.P.) is Rs.320, what would be the percentage profit if the item is sold at the marked price?

• A. 25%
• B. 30%
• C. 27%
• D. 28%

Hint:

If profit is given after discount, first find the reduced selling price, then add back the discount to get the marked price before calculating the final profit.

Answer 1

The Correct Option is A

Step 1: Write the given cost price.
The cost price of the item is Rs.320.
Step 2: Calculate the selling price after reduction.
Even after reducing the marked price by Rs.32, the shopkeeper makes a profit of 15%.
Therefore, selling price after reduction is:
\[ \text{SP}_{\text{reduced}} = 320 \times \frac{115}{100} \]
\[ \text{SP}_{\text{reduced}} = 368 \]
Step 3: Find the marked price.
The reduced selling price is Rs.32 less than the marked price.
Therefore, marked price is:
\[ \text{MP} = 368 + 32 = 400 \]
Step 4: Calculate profit when sold at marked price.
Profit at marked price is:
\[ 400 - 320 = 80 \]
Step 5: Calculate the profit percentage at marked price.
\[ \text{Profit %} = \frac{80}{320} \times 100 \]
\[ \text{Profit %} = 25% \]
Step 6: Final conclusion.
Hence, the percentage profit if the item is sold at the marked price is 25%.