# Jyoti and Meena Run a Ready-made Garment Shop. They Mark the Garments at Such a Price that Even After Allowing a Discount of 12.5%, They Make a Profit of 10%. Find the Marked Price of a Suit Which - Mathematics

Jyoti and Meena run a ready-made garment shop. They mark the garments at such a price that even after allowing a discount of 12.5%, they make a profit of 10%. Find the marked price of a suit which costs them Rs 1470.

#### Solution

$\text { Given, }$

$\text { CP of the suit = Rs }. 1470$

$\text { Gain = 10 % }$

$\text { So, SP = Rs } . \left( \frac{100 + \text { Gain }}{100} \times CP \right)$

$= Rs . \left( \frac{100 + 10}{100} \times 1470 \right)$

$= Rs . 1617$

$\text { Now },$

$\text { SP = Rs } . 1617$

$\text { Discount = 12 . 5 % }$

$\text { So, MP = Rs } . \left( \frac{100 \times SP}{100 - \text { Discount % }} \right)$

$= Rs . \left( \frac{100 \times 1617}{100 - 12 . 5} \right) = Rs . 1848$

$\text { Therefore, the marked price of the suit is Rs } . 1848 .$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 13 Proft, Loss, Discount and Value Added Tax (VAT)
Exercise 13.2 | Q 21 | Page 27