The cost price of 25 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
20
Let the cost price of one article be \(1\) unit, so the cost price of 25 articles is \(25\) units.
This total equals the selling price of \(x\) articles, so the selling price of one article is \(\dfrac{25}{x}\) units.
A profit of 25% means selling price of one article \(= 1 \times 1.25 = 1.25\) units.
Equating: \(\dfrac{25}{x} = 1.25 \Rightarrow x = \dfrac{25}{1.25} = 20\).
Hence, the value of x is 20.
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Important Questions from Profit and Loss
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?
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?
By selling a horse for Rs. 670, a tradesman would lose 5%. At what price must he sell it to gain 5%?
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:
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
