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a shopkeeper allow a discount of10% to his customers and still gains20%. what is the market price on anarticle which costs ` 450 to theshopkeeper

User AndriusZ
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1 Answer

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Final answer:

The market price of the article is `600.

Step-by-step explanation:

To determine the market price, we need to find the original price of the article before the discount. Let's assume the market price is 'M'.

Given that the shopkeeper gives a discount of 10% and still gains 20%, we can set up the following equation:

  1. The shopkeeper sells the article at 90% of the market price (0.9M) to the customer.
  2. The shopkeeper gains 20%, which means the selling price is 120% (1.2) of the cost price.
  3. Using the given cost price of `450, we can set up the equation: 1.2 * 450 = 0.9M
  4. Solving for M, we find that the market price of the article is `600.

Therefore, the market price for the article is `600.

User Montoya
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