A trader bought an article for Rs. x and sold it for Rs. 52, thereby making a profit of (x - 10) percent on his outlay. Calculate the cost price.

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Solution

We have the Cost price = x

Selling price = Rs.52

So,

$fraction numerator S P minus C P over denominator C P end fraction open parentheses 100 close parentheses equals x minus 10 fraction numerator 52 minus x over denominator x end fraction open parentheses 100 close parentheses equals x minus 10 x squared plus 90 x minus 5200 equals 0 open parentheses x minus 40 close parentheses open parentheses x plus 130 close parentheses equals 0 x equals 40 comma negative 130$

Negative value is neglected.

So Cost price= Rs. 40

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A trader bought an article for Rs. x and sold it for Rs. 52, thereby making a profit of (x - 10) percent on his outlay. Calculate the cost price.

We have the Cost price = x Selling price = Rs.52 So, Negative value is neglected. So Cost price= Rs. 40