A shopkeeper marks his goods 25% above the cost price. If he sells them at a dis

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What’s inside this PDF?

Question: A shopkeeper marks his goods 25% above the cost price. If he sells them at a discount of 10%, what is his profit percentage?

Options:

12.5%
15%
17.5%
20%

Correct Answer: 17.5%

Solution:

Let cost price = $100. Marked price = 100 + 25% of 100 = $125. Selling price after 10% discount = 125 - 10% of 125 = $112.5. Profit = 112.5 - 100 = $12.5. Profit percentage = (12.5 / 100) * 100 = 12.5%.

A shopkeeper marks his goods 25% above the cost price. If he sells them at a dis

Practice Questions

A shopkeeper marks his goods 25% above the cost price. If he sells them at a discount of 10%, what is his profit percentage?

12.5%
15%
17.5%
20%

Questions & Step-by-Step Solutions

A shopkeeper marks his goods 25% above the cost price. If he sells them at a discount of 10%, what is his profit percentage?

Step 1: Assume the cost price (CP) of the goods is $100.
Step 2: Calculate the marked price (MP) by adding 25% to the cost price: MP = 100 + (25% of 100) = 100 + 25 = $125.
Step 3: Calculate the selling price (SP) after applying a 10% discount on the marked price: SP = 125 - (10% of 125) = 125 - 12.5 = $112.5.
Step 4: Calculate the profit by subtracting the cost price from the selling price: Profit = SP - CP = 112.5 - 100 = $12.5.
Step 5: Calculate the profit percentage using the formula: Profit Percentage = (Profit / CP) * 100 = (12.5 / 100) * 100 = 12.5%.

Markup and Discount – Understanding how to calculate the marked price by applying a markup percentage and then determining the selling price after applying a discount.
Profit Calculation – Calculating profit by finding the difference between selling price and cost price, and then determining the profit percentage.

A shopkeeper marks his goods 25% above the cost price. If he sells them at a dis

What’s inside this PDF?

A shopkeeper marks his goods 25% above the cost price. If he sells them at a dis

Practice Questions

Questions & Step-by-Step Solutions

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