Question

a shopkeeper sold watch allowing 15 percent dis.. and levying 13 percent vat .if the dis.. amount was rs 750 .find the vat amount​

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 552.5}}}}}`

Explanation:

Given,

Discount percent = 15 %

Vat percent = 13 %

Discount amount = Rs 750

Vat amount = ?

Finding the Marked price ( MP )

`\boxed{ \sf{Discount \: amount = \: discount\% \: of \: MP}}`

⇒
`\sf{750 = 15\% \: of \: MP}`

⇒
`\sf{750 = (15)/(100) * MP }`

⇒
`\sf{750 = (3)/(20) MP}`

⇒
`\sf{ (3)/(20) MP = 750}`

⇒
`\sf{MP = 750 * (20)/(3) }`

⇒
`\sf{MP = rs \: 5000}`

Finding the selling price

`\boxed{ \sf{Selling \: price = \: MP - \: discount \: amount}}`

⇒
`\sf{5000 - 750}`

⇒
`\sf{Rs \: 4250}`

Finally, finding the Vat amount

`\boxed{ \sf{Vat \: amount = Vat\% \: of \: selling \: price}}`

⇒
`\sf{13\% \: of \: 4250}`

⇒
`\sf{ Rs 552.5}`

Vat amount = Rs 552.5

Hope I helped!

Best regards!!