Question

The cost price of an article is 64% of the marked price. Calculate the percent gain after allowing a discount of 12%?

• A. 87.5 %
• B. 33.33 %
• C. 52.5 %
• D. 37.5 %
• E. 62.5 %

Hint:

For percentage problems involving CP, MP, and SP, it's often easiest to assume the Marked Price as 100 to avoid fractions.

Answer 1

The Correct Option is D

Step 1: Assume Marked Price:
Let the Marked Price (MP) be Rs. 100.
Step 2: Find Cost Price (CP):
CP = 64% of MP = $0.64 \times 100 = \text{Rs. } 64$.
Step 3: Find Selling Price (SP) after Discount:
Discount = 12% of MP = $0.12 \times 100 = \text{Rs. } 12$. SP = MP - Discount = $100 - 12 = \text{Rs. } 88$.
Step 4: Calculate Profit and Profit Percent:
Profit = SP - CP = $88 - 64 = \text{Rs. } 24$. Profit Percent = $\frac{\text{Profit}}{\text{CP}} \times 100 = \frac{24}{64} \times 100 = \frac{3}{8} \times 100 = 37.5\%$.
Step 5: Final Answer:
The percent gain is 37.5%.