Question

A refrigerator was available for Rs 36,842.96, which included three successive discounts of 20%, 15% and 10% on the list price and a sales tax of 7.5% on the remainder. Find the list price of the refrigerator.

Answer 1

Let the list price be x 

First rebate = 20 % of x 

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

`= "x" - (20  "x")/100`

`= (80  "x")/100`

Second rebate =15 % of `(80  "x")/100` 

Cost of refrigerator after seoond discount

= `(80 "x")/100 - 15 % "of" (80 "x")/100`

=`(80 "x")/100 - (15/100 xx (80 "x")/100)`

=`(80 "x")/100 - (12  "x")/100`

=`(68 "x")/100`

Third rebate = 10 % of `(68 "x")/100`

Cost of refrigerator after third discount 

=`(68 "x")/100 - 10 %  "of"  (68 "x")/100`

= `(68 "x")/100 - (10/100 xx (68 "x")/100)`

= `(68 "x")/100 - (68 "x")/1000`

=`(612 "x")/1000`

Sales tax = 7 .5%  of oost of refrigerator 

=`7.5/100 xx (612 "x")/1000`

=`(459 "x")/10000`

Total oost = cost +sales tax 

=`(612 "x")/1000 + (459  "x")/10000`

= `(6579 "x")/10000`

But total oost = Rs 36,842.40 

⇒ `(6579  "x")/10000` = Rs 36842.40

⇒ x = `(36842.40 xx 10000)/6579`

⇒ x = Rs 56000

Hence, Basic price of refrigerator = Rs 56,000