Question

11. The price of a TV set inclusive of sales tax of 9% is Rs. 17407. Find its marked price. If
the sales tax is increased to 13%, how much more does the customer pay for the TV set? i know the ans is 12300. 402 but i need with correct explanation plz​

Answer 1

Step-by-step explanation:

let the marked price is Rs.x

∴x+9%  of x=13407

⇒x+1009=13407

⇒100109x=13407

⇒x=10913407×100

⇒x=Rs.12300

If the sales tax is increased 13% then

The price of the T.V=12300+13%  of 12300

⇒12300+10013×12300

⇒12300+1599=Rs.13899

∴ customer pay =13899−13407=Rs.492 

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Answer 2

let the marked price is Rs.x

∴x+9% of x=13407

⇒x+

100

9

=13407

⇒

100

109x

=13407

⇒x=

109

13407×100

⇒x=Rs.12300

If the sales tax is increased 13% then

The price of the T.V=12300+13% of 12300

⇒12300+

100

13

×12300

⇒12300+1599=Rs.13899

∴ customer pay =13899−13407=Rs.492

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