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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. Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?

  2. A man sells a car to his friend at the loss of 10 %; who in return sells it for Rs. 54000 making a profit of 20 %. What was the initial value of the car?

  3. An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:

  4. The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?

  5. If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?

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