Question

When the rate of sale-tax is decreased from 9% to 6% for a coloured T.V.; Mrs. Geeta will save Rs 780 in buying this T.V. Find the list price of the T.V.

Answer 1

Let the list price of T.V = y

Sales tax when the rate is 9% = `9/100 "y"`

=> Sale price is `"y" + (9"y")/100`

Sales tax when the rate is 6% = `6/100 "y"`

=> Sale price is `"y" + 6/100 "y"`

Differences of sale prices

`= "y" + (9"y")/100 - ("y" + (6"y")/100)`

`= "y" + (9"y")/100 - "y" - (6"y")/100`

`= (9"y")/100 - (6"y")/100`

Saving for Geeta = 780

Therefore we have

`780 = (9"y")/100 - (6"y")/100`

`=> (3"y")/100 = 780`

`=> "y" = (780 xx 100)/3`

=> y = Rs. 26000

Thus the list price of the T.V is Rs. 26000