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Question

A merchant buys an article for ₹ 18,960 and sells it at a 15% loss. What is the selling price of the article?

The correct answer is
₹ 16,116

The problem requires calculating the selling price (SP) of an article when the cost price (CP) and the loss percentage are given.

Selling Price Calculation

Given:

  • Cost Price (CP) = ₹ 18,960
  • Loss Percentage = 15%

The formula to calculate the selling price when there is a loss is:

SP = CP $\times$ \(\left(1 - \frac{\text{Loss \%}}{100}\right)\)

Article Selling Price Computation

Substitute the given values into the formula:

SP = ₹ 18,960 $\times$ \(\left(1 - \frac{15}{100}\right)\)

SP = ₹ 18,960 $\times$ \((1 - 0.15)\)

SP = ₹ 18,960 $\times$ \(0.85\)

SP = ₹ 16,116

Therefore, the selling price of the article is ₹ 16,116.

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Important Questions from Profit and Loss

  1. Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair? 

  2. A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?

  3. A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:

  4. A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?

  5. Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?

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