# Ramesh Bought Two Boxes for Rs 1300. He Sold One Box at a Profit of 20% and the Other Box at a Loss of 12%. If the Selling Price of Both Boxes is the Same, Find the Cost Price of Each Box. - Mathematics

Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.

#### Solution

$\text { Let the cost price of the first box be Rs . x } .$

$\text { Therefore, the cost of the second box will be Rs } . (1300 - x)$

$\text { Profit on the first box = 20 %}$

$\text { Loss on the second box = 12 % }$

$\text { SP of the first box = C }P\left( \frac{\text { gain %} + 100}{100} \right)$

$SP = x\left( \frac{120}{100} \right)$

$\text { SP of the first box = Rs } . \frac{120x}{100} = Rs . \frac{6x}{5}$

$\text { SP of the second box = CP }\left( \frac{100 -\text { loss %}}{100} \right)$

$\text { S . P of the second box }= \frac{88\left( 1300 - x \right)}{100} = Rs . \left( \frac{28600 - 22x}{25} \right)$

$\text { Since S . P of both the box are equal },$

$\frac{6x}{5} = \left( \frac{28600 - 22x}{25} \right)$

$150x = 143000 - 110x$

$260x = 143000$

$x = \frac{143000}{260}$

$x = 550$

$\text { Therefore, the cost price of the first box is Rs . 550 }.$

$\text { The cost price of the second box will be Rs } . (1300 - 550) = Rs . 750$

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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 8 | Page 11