Question

A trader sells 20 articles at Rs. 54 per article after giving 10% discount and gains 50% profit. If the discount is not given, the profit gained is ______ .

• A. 56.76%
• B. 66.66%
• C. 62.66%
• D. 63.66%

Answer 1

The Correct Option is B

To determine the profit percentage when no discount is given, we start by understanding the given details:

• Selling Price (SP) per article with a 10% discount = Rs. 54.
• Discount offered = 10%.
• Profit percentage with discount = 50%.

We'll find the initial Marked Price (MP) and the Cost Price (CP) to solve this.

First, calculate MP:

If SP is Rs. 54 after a 10% discount, it means Rs. 54 is 90% of MP:

MP = Rs. 54 / 0.9 = Rs. 60.

Next, calculate CP using the fact that the profit is 50% based on CP:

SP = (CP × 150%) = 1.5 × CP

1.5 × CP = Rs. 54 (one article), therefore CP = Rs. 54 / 1.5 = Rs. 36.

Now, calculate profit percentage without discount.

• If no discount is given, SP equals MP, which is Rs. 60.
• Profit = SP - CP = Rs. 60 - Rs. 36 = Rs. 24.
• Profit percentage without discount = (Profit / CP) × 100 = (24 / 36) × 100 = 66.66%.

Thus, if no discount is given, the profit gained is 66.66%.