Question

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.

Answer 1

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