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# Mariam Bought Two Fans for Rs 3605. She Sold One at a Profit of 15% and the Other at a Loss of 9%. If Mariam Obtained the Same Amount for Each Fan, Find the Cost Price of Each Fan. - Mathematics

Answer in Brief

Mariam bought two fans for Rs 3605. She sold one at a profit of 15% and the other at a loss of 9%. If Mariam obtained the same amount for each fan, find the cost price of each fan.

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#### Solution

$\text { It is given that the S . P is same for both the fans } .$

$\text { Let C . P of the first fan be Rs . x }$

$\text { Therefore, C . P of the second fan = Rs }. (3605 - x)$

$\text { Profit on the first fan = 15 % }$

$\text { Loss on the second fan = 9 % }$

$\text { For the first fan },$

$\text { S . P = C . P }\left( \frac{100 + \text { gain % }}{100} \right)$

$= x\left( \frac{115}{100} \right)$

$= \frac{23x}{20}$

$\text { For the second fan },$

$\text { S . P = C . P }\left( \frac{100 -\text { loss % }}{100} \right)$

$= \left( 3605 - x \right)\left( \frac{91}{100} \right)$

$\text { Since S . P of both the fans is the same, }$

$\frac{23x}{20} = \left( 3605 - x \right)\left( \frac{91}{100} \right)$

$2300x = 91\left( 72100 - 20x \right)$

$2300x = 6561100 - 1820x$

$4120x = 6561100$

$x = Rs . 1592 . 50$

$\text { Thus, C . P of the first fan is Rs } . 1592 . 50 .$

$\text { C . P of the second fan = Rs } . \left( 3605 - 1592 . 50 \right)$

$= Rs . 2012 . 50$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 13 Proft, Loss, Discount and Value Added Tax (VAT)
Exercise 13.1 | Q 19 | Page 12
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