A computer was available for Rs 27,216, which included two successive discounts of 20% and 10% on the basic price and a sales tax of 8% on the remaining price. Find the basic price of the computer.

#### Solution

Let the basic price be x

First rebate = 20 % of x

Cost of oomputer after first discount = x - 20 % of x

`= "x"- (20 "x")/100`

`= (80 "x")/100`

Seoond rebate =10 % of `(80 "x")/100`

Cost of oomputer after seoond discount

= `(80 "x")/100 - 10 % "of" (80 "x")/100`

= `(80 "x")/100 - (10/100 xx (80 "x")/100)`

= `(80 "x")/100 - (80 "x")/1000`

= `(720 "x")/1000 = (72 "x")/100`

Sales tax = 8 % of oost of computer

`= 8/100 xx (72 "x")/100`

`= (576 "x")/10000`

Total cost = cost + sales tax

`= (72 "x")/100 + (576 "x")/10000`

`= (7776 "x")/10000`

But total cost = Rs 27,216

⇒ `(7776 "x")/10000` = Rs 27216

⇒ x = `(27216 xx 10000)/7776`

⇒ x = Rs 35000

Hence, Basic price of Computer= Rs 35,000