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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. By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?

  2. By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?

  3. The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?

  4. The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?

  5. A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?

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