Question

during Christmas, a gown is sold for 2990 after allowing a discount of 35%. find the marked price?

Answer 1

SP of gown = ₹2990

Discount = 35%

Let the MP be x.

$\sf{SP = \bigg(1- \dfrac{d}{100}\bigg)×MP}$

$\implies\sf{2990 = \bigg(1 - \dfrac{35}{100} \bigg)x}$

$\implies \sf{2990 = \bigg(1 - \dfrac{7}{20} \bigg)x}$

$\implies \sf{2990 = \bigg( \dfrac{20 - 7}{20} \bigg)x}$

$\implies \sf{2990 = \bigg(\dfrac{13}{20} \bigg)x}$

$\implies \sf{x = \dfrac{20}{13} \times 2990}$

$\implies\sf{x \: = \: }{\underline{\boxed{\sf{₹4600}}}}$

Therefore, MP = x = ₹4600.

Answer 2

Given,

Selling price of gown, $\[S.P. = 2990\]$

Discount, $\[d = 35\% \]$

Solution,

Consider the marked price is x.

$\[x - 35\% x = 2990\]$

Solve this equation,

$\[x - \frac{{35}}{{100}}x = 2990\]$

$\[ \Rightarrow \frac{{65}}{{100}}x = 2990\]$

$\[ \Rightarrow x = 4600\]$

Hence the marked price is $\[4600\]$.