A shopkeeper sold an article at 5- profit- If he had old it at a profit of 17 1 2 - the profit would have been Rs25 more- What is the cost price of the article

Let the CP be x .The article is sold at 105x100 If the profit is 352% the article would be sold at #160; 117.5x100 117.5x100 105x100= ...

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Standard VII

Mathematics

Percentages

A shopkeeper ...

Question

A shopkeeper sold an article at $5 %$ profit. If he had old it at a profit of $17 \frac{1}{2} %$ the profit would have been $R s 25$ more. What is the cost price of the article

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Solution

Let the CP be $x$ .

The article is sold at $\frac{105 x}{100}$

If the profit is $\frac{35}{2} %$ the article would be sold at $\frac{117.5 x}{100}$

$\frac{117.5 x}{100} - \frac{105 x}{100} = 25$

$\frac{12.5 x}{100} = 25$

$\frac{x}{100} = 2$

$x = 200$

The cost price of the article is 200Rs

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A shopkeeper sold an article at 5% profit. If he had old it at a profit of 1712% the profit would have been Rs25 more. What is the cost price of the article

Let the CP be x.The article is sold at 105x100If the profit is 352% the article would be sold at 117.5x100117.5x100−105x100=2512.5x100=25x100=2x=200The cost price of the article is 200Rs

A shopkeeper sold an article at $5 %$ profit. If he had old it at a profit of $17 \frac{1}{2} %$ the profit would have been $R s 25$ more. What is the cost price of the article

Let the CP be $x$ .

The article is sold at $\frac{105 x}{100}$

If the profit is $\frac{35}{2} %$ the article would be sold at $\frac{117.5 x}{100}$

$\frac{117.5 x}{100} - \frac{105 x}{100} = 25$

$\frac{12.5 x}{100} = 25$

$\frac{x}{100} = 2$

$x = 200$

The cost price of the article is 200Rs