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% isQuestion Description : 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.
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