Question

A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price of the bicycle​

Answer 1

$\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}$

• We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

$\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}$

$\large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}$

$\large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}$

$\large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}$

$\large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}$

$\large{ \tt{⇢ \: 113 \: SP = 406800}}$

$\large{ \tt{⇢ \: SP = \frac{406800}{113} }}$

$\large{ \tt{⇢ \: SP = 3600}}$

• Hence , SP = Rs 3600

$\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}$

• Let Marked Price [ MP ] be x.

$\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}$

$\large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}$

$\large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}$

$\large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}$

$\large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}$

$\large{ \tt{⇾ \: 90x = 360000}}$

$\large{ \tt{⇾ \: x = \frac{360000}{90} }}$

$\large{ \tt{⇾ \: x = Rs \: 4000}}$

$\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}$

• Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)