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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.
Solution
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.
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