Question

When the rate of Sales Tax is decreased from 9% to 6% for a coloured TV;Mrs Geeta will save Rs. 780 in buying this TV. Find the list price of the TV.

Answer 1

x×109/100-x×106/100=780
3x/100=780
x=26000

Answer 2

Answer:

The list price of the TV is Rs 26000 .

Step-by-step explanation:

Let us assume that the listed amount of the TV is x .

As given

When the rate of Sales Tax is decreased from 9% to 6% for a coloured TV;Mrs Geeta will save Rs. 780 in buying this TV.

9% is written in the decimal form

$= \frac{9}{100}$

= 0.09

Amount of 9% Sales tax = 0.09 × Listed price

                                        = 0.09 × x

                                        = 0.09x

6% is written in the decimal form

$= \frac{6}{100}$

= 0.06

Amount of 6% Sales tax = 0.06 × Listed price

                                        = 0.06 × x

                                        = 0.06x

Thus

Amount of 9% sales tax -  Amount of 6% sales tax = Rs 780

0.09x - 0.06x = 780

0.03x = 780

$x = \frac{780}{0.03}$

$x = \frac{780\times 100}{3}$

$x = 260\times 100$

x = Rs 26000

Therefore the list price of the TV is Rs 26000 .