Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 552.5}}}}}[/tex]
Step-by-step explanation:
Given,
Discount percent = 15 %
Vat percent = 13 %
Discount amount = Rs 750
Vat amount = ?
Finding the Marked price ( MP )
[tex] \boxed{ \sf{Discount \: amount = \: discount\% \: of \: MP}}[/tex]
⇒[tex] \sf{750 = 15\% \: of \: MP}[/tex]
⇒[tex] \sf{750 = \frac{15}{100} \times MP }[/tex]
⇒[tex] \sf{750 = \frac{3}{20} MP}[/tex]
⇒[tex] \sf{ \frac{3}{20} MP = 750}[/tex]
⇒[tex] \sf{MP = 750 \times \frac{20}{3} }[/tex]
⇒[tex] \sf{MP = rs \: 5000}[/tex]
Finding the selling price
[tex] \boxed{ \sf{Selling \: price = \: MP - \: discount \: amount}}[/tex]
⇒[tex] \sf{5000 - 750}[/tex]
⇒[tex] \sf{Rs \: 4250}[/tex]
Finally, finding the Vat amount
[tex] \boxed{ \sf{Vat \: amount = Vat\% \: of \: selling \: price}}[/tex]
⇒[tex] \sf{13\% \: of \: 4250}[/tex]
⇒[tex] \sf{ Rs 552.5}[/tex]
Vat amount = Rs 552.5
Hope I helped!
Best regards!!