An article is sold at a profit of $14 %$ . If both the cost price and selling price are Rs. $132$ less, the profit would be $12 %$ more. Find the cost price.

Rs.

286

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Rs.

268

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Rs.

266

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Rs.

276

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Solution

The correct option is A Rs. $286$
Let cost price be $x$
SP $= x + 14 %$ of $x = x + \frac{14 x}{100} = 1.14 x$
If CP and SP were Rs. $132$ less, the profit would be $(14 + 12) %$
New, CP $= (x - 132)$
SP $= 1.14 x - 132$
SP $-$ CP $= 26 %$ of $(x - 132)$
$1.14 x - 132 - x + 132 = \frac{26 \times (x - 132)}{100}$
$0.14 x \times 100 = 26 x - 3432$
$14 x - 26 x = - 3432$
$12 x = 3432$
$x = 286$
So, CP was Rs. $286$ .

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An article is sold at a profit of 14%. If both the cost price and selling price are Rs. 132 less, the profit would be 12% more. Find the cost price.

An article is sold at a profit of $14 %$ . If both the cost price and selling price are Rs. $132$ less, the profit would be $12 %$ more. Find the cost price.