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 + (13)/(100) \: sp}}`

`\large{ \tt{⇢ \: 4068 = (100 \: \: SP + 13 \: SP)/(100) }}`

`\large{ \tt{⇢ \: 4068 = (113 \: SP)/(100) }}`

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

`\large{ \tt{⇢ \: SP = (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 - (10)/(100) } \: x}`

`\large{ \tt{⇾ \: 3600 = (100x - 10x)/(100) }}`

`\large{ \tt{⇾ \: 3600 = (90x)/(100) }}`

`\large{ \tt{⇾ \: 90x = 360000}}`

`\large{ \tt{⇾ \: x = (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! :)