A shopkeeper sold an article at a loss of $20 %$ . If the selling price had been increased by ₹100, there would have been a gain of $5 %$ . What was the cost price of the article?

₹400

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₹500

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₹450

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₹520

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Solution

The correct option is B ₹400

Let the C.P be ₹ x.
Loss is 20%
We know that,
$L o s s % = \frac{C P - S P}{C P} \times 100$
$20 = \frac{x - S P}{x} \times 100$
$\frac{20 x}{100} = x - S P$
$S P = x - \frac{20 x}{100}$
$∴ S.P = x \times \frac{80}{100} = \frac{80 x}{100}$
When It is sold for 100 rupees more the gain is $5 % = \frac{80 x}{100} + 100 = x \times \frac{105}{100}$
$\frac{x}{4} = ₹ 100$
$x = ₹ 400$
So, the cost price of the article is ₹400.

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A shopkeeper sold an article at a loss of 20%. If the selling price had been increased by ₹100, there would have been a gain of 5%. What was the cost price of the article?

The correct option is B ₹400Let the C.P be ₹ x.Loss is 20%We know that, Loss%=CP−SPCP×100 20=x−SPx×100 20x100=x−SP SP=x−20x100∴S.P=x×80100=80x100When It is sold for 100 rupees more the gain is 5%=80x100+100=x×105100x4=₹100x=₹400So, the cost price of the article is ₹400.

A shopkeeper sold an article at a loss of $20 %$ . If the selling price had been increased by ₹100, there would have been a gain of $5 %$ . What was the cost price of the article?