Question

A shopkeeper labelled the price of his articles so as to earn a profit of 30% on the cost price. He then sold the articles by offering a discount of 10% on the labelled price. What is the actual per cent profit earned in the deal?

• A. 18%
• B. 15%
• C. 20%
• D. None of these

Hint:

Assume CP = 100, find the marked price with a 30% markup, then apply the 10% discount to get SP and compute the profit percent.

Answer 1

The Correct Option is D

Step 1: Assume a convenient cost price and find the labelled price.
Let the cost price (CP) be Rs. 100. Since the shopkeeper labels the price to earn a 30% profit on CP, the marked price (MP) is: \[ \text{MP} = 100 + 30\% \text{ of } 100 = \text{Rs. } 130 \]

Step 2: Apply the discount to get the selling price.
A discount of 10% is given on the marked price: \[ \text{SP} = 130 \times \left(1 - \frac{10}{100}\right) = 130 \times 0.9 = \text{Rs. } 117 \]

Step 3: Compute the actual percent profit.
\[ \text{Profit} \% = \frac{\text{SP} - \text{CP}}{\text{CP}} \times 100 = \frac{117 - 100}{100} \times 100 = 17\% \]

Final Answer:
The actual profit is 17%, which is not among 18%, 15% or 20%, so the correct choice is "none of these". \[ \boxed{\text{Profit} = 17\%} \]