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%
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 100 + 50% of $100).
Step 3: The shopkeeper wants to gain 20% profit. So, the selling price should be 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 30 (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% (150 * 100).
So, the shopkeeper can give a 20% discount on the marked price to gain a 20% profit.
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?
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.