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

350

rupees

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430

rupees

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400

rupees

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600

rupees

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Solution

The correct option is C $400$ rupees
Let C.P. of article be $x$ rupees. Then,
$(105 %$ of $x) - (80 %$ of $x) = 100$
$\Rightarrow 25 %$ of $x = 100$
$\Rightarrow x = 400$
So, C.P. $= 400$ rupees

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

The correct option is C 400 rupeesLet C.P. of article be x rupees. Then, (105% of x)−(80% of x)=100 ⇒25% of x=100 ⇒x=400 So, C.P. =400 rupees

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

The correct option is C $400$ rupees
Let C.P. of article be $x$ rupees. Then,
$(105 %$ of $x) - (80 %$ of $x) = 100$
$\Rightarrow 25 %$ of $x = 100$
$\Rightarrow x = 400$
So, C.P. $= 400$ rupees