Question

Mukerjee purchased a movie camera for ₹27468. which includes 10% rebate on the list price and then 9% sales tax (under VAT) on the remaining price. Find the list price of the movie camera.

Answer 1

Let list price of the movie camera = x
Rebate = 10%
Price after rebate

= `x xx (100 - 10)/(100)`

= `x xx (90)/(100)`
Sale tax = 9%
Sale price

= `(90)/(100)x xx (100 + 9)/(100)`

= `(90)/(100)x xx (109)/(100)`

= `(981)/(1000)x`

∴ `(981)/(1000)x` = ₹27468

⇒ x =`(27468 xx 1000)/(981)`
∴ x
= 28 x 100
= ₹28000
∴ List price of movie camera = ₹28000.