Question

Madan purchases a compact computer system for Rs 47,700 which includes 10% rebate on the marked price and then a 6% sales tax on the remaining price. Find the marked price of the computer.

Answer 1

Let the marked price be Rs x

Rebate = 10%

Price after rebate = x - 10% of x

`= x - 10/100 x`

`=(9x)/10`

Sales tax = 6%

∴ Total money paid = `(9x)/10 + 6% " of " (9x)/10`

`=> 47700 = (9x)/10 + 6/100 xx (9x)/10`

`=> 47700 = (9x)/10 + (54x)/1000`

`=> 47700 = (954x)/1000`

`=> x = 50000`

The marked price of the computer is Rs 50000.