Question

A shop owner sells his goods at 17.5% discount what price should he mark on an article that cost him Rs.1200 to make a profit 37.5% on his cost?​

Answer 1

Answer :-

Rs.2000

Explanation :-

Given :

Discount = 17.5%

Cost Price = Rs. 1200

Profit = 37.5%

To Find :

Marked price,MP = ?

Solution :

We know,

$\boxed{\sf{}\dfrac{SP\times 100}{100-Discount}}$

We don’t know selling price,so let’s find out it first.

Selling Price,

$\sf{}:\implies \dfrac{CP\times(100+Profit)}{100}$

$\sf{}:\implies \dfrac{1200\times(100+37.5)}{100}$

$\sf{}:\implies \dfrac{1200\times(1137.5)}{100}$

$\sf{}:\implies \dfrac{165000}{100}$

$\sf{}\therefore Rs.1650$

Therefore,selling price is equal to Rs.1650

So marked price,

$\sf{}:\implies\dfrac{1650\times 100}{100-17.5}$

$\sf{}:\implies\dfrac{165000}{100-17.5}$

$\sf{}:\implies\dfrac{165000}{82.5}$

$\sf{}\therefore Rs.2000$

Hence, marked price is equal to Rs.2000

Answer 2

$\huge\bf{\underline{\underline{\gray{GIVEN:-}}}}$

• A shop owner sells his goods at 17.5% discount .

• Cost price = Rs.1200

• Profit = 37.5%

$\huge\bf{\underline{\underline{\gray{TO\:FIND:-}}}}$

• The Mark price of his goods .

$\huge\bf{\underline{\underline{\gray{SOLUTION:-}}}}$

✯ Selling price of his goods on the profit of 37.5% is,

$\orange\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{S.P\:=\:C.P\:+\:37.5\%\:of\:C.P\:}}}}}$

Where,

• $\bf\red{C.P}$ = Cost Price = Rs.1200

$\rm{:\implies\:S.P\:=\:1200\:+\:\dfrac{35.7}{100}\times{1200}\:}$

$\rm{:\implies\:S.P\:=\:1200\:+\:35.7\times{12}\:}$

$\rm{:\implies\:S.P\:=\:1200\:+\:450\:}$

$\bf\green{:\implies\:S.P\:=\:Rs.1650\:}$

$\blue\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{M.P\:=\:\dfrac{S.P}{100\:-\:\%{Discount}}\times{100}\:}}}}}$

$\rm{:\implies\:M.P\:=\:\dfrac{1650}{100\:-\:17.5}\times{100}\:}$

$\rm{:\implies\:M.P\:=\:\dfrac{1650}{82.5}\times{100}\:}$

$\rm{:\implies\:M.P\:=\:20\times{100}\:}$

$\bf\green{:\implies\:M.P\:=\:Rs.2000\:}$

$\huge\red\therefore$ The mark price of his goods is "Rs.2000" .