Knowee
Questions
Features
Study Tools

A shopkeeper fixes the marked price of an item 50% above its cost price. The percentage of discount allowed to gain 20% isQuestion Description : 20%30%25%35%

Question

A shopkeeper fixes the marked price of an item 50% above its cost price. The percentage of discount allowed to gain 20% is

  • 20%
  • 30%
  • 25%
  • 35%
🧐 Not the exact question you are looking for?Go ask a question

Solution

The problem is asking for the percentage of discount a shopkeeper can give to still gain a profit of 20% if the marked price is 50% above the cost price. Here's how you can solve it:

Step 1: Let's assume the cost price of the item is $100.

Step 2: According to the problem, the shopkeeper marks up the price by 50%. So, the marked price of the item is 150(150 (100 + 50% of $100).

Step 3: The shopkeeper wants to gain 20% profit. So, the selling price should be 120(120 (100 + 20% of $100).

Step 4: Now, we need to find out how much discount the shopkeeper can give on the marked price to sell the item for 120.Thedifferencebetweenthemarkedpriceandthesellingpriceis120. The difference between the marked price and the selling price is 30 (150150 - 120).

Step 5: To find the percentage of the discount, we divide the discount by the marked price and multiply by 100. So, the discount percentage is 20% (30/30/150 * 100).

So, the shopkeeper can give a 20% discount on the marked price to gain a 20% profit.

This problem has been solved

Similar Questions

A shopkeeper fixes the marked price of an item 25% above its cost price.Find the percentage of discount allowed to gain 10%?10%12%14%20%

A shop keeper marks his goods 30% above the C.P and allows 10% discount on the marked priceHis profir percent?15%16%17%18%

A trader gives successive discounts of 10%, 20% and 10% respectively. The percentage of the original cost price he will recover is:

A shopkeeper offers a discount of 10% on his articles. The marked price of the article is ₹450, thenthe selling price should be ___________.

The marked price of an article is 45% more than its cost price. If a discount of 20% is given, then what is the profit percentage?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.