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Question
A toy is purchased for Rs. 591.36 which includes 12% rebate on the printed price and 12% sales tax on the sale price of the toy find the printed price of the toy.
Solution
Let printed price = Rs. y
Discount% = 12%
∴ Sale price = Rs.`y(1-12/100)=yxx88/100=Rs.(22y)/25`
Rate of sales tax = 12%
Purchase price= Rs. 591.36
According to question
Sale price + sales tax = Rs. 591.36
`Rs.(22y)/25+12% of (22y)/25 `= Rs. 591.36
⇒ `(22y)/25+(66y)/625` = Rs. 591.36
⇒ `(616y)/625`= Rs. 591.36
⇒`y=(591.36xx625)/616`= Rs. 600 Ans
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