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

Answer 1

The Correct Option is D

The problem involves calculating the actual profit percentage when a discount is given on the marked price. Here's the step-by-step solution:

Let's assume the cost price (CP) of the article is $100 (for simplicity).

Step 1: Determine the Marked Price (MP)

The shopkeeper labels the article to earn a profit of 30% on the CP.
Marked Price (MP) = CP + 30% of CP = $100 + 30% of $100 = $100 + $30 = $130

Step 2: Calculate the Selling Price (SP)

The shopkeeper sells the article with a 10% discount on the MP.
Discount = 10% of MP = 10% of $130 = $13
Selling Price (SP) = MP - Discount = $130 - $13 = $117

Step 3: Calculate the Actual Profit Percentage

Profit = SP - CP = $117 - $100 = $17
Profit Percentage = (Profit/CP) × 100% = ($17/$100) × 100% = 17%

Therefore, the actual profit percentage earned in the deal is 17%.

Since 17% is not among the given options, the correct answer is none of these.