Question

the price of TV set inclusive of sales tax in Rs 13530 if the rate of sales tax is 10% find its basic price​

Answer 1

Answer:

Basic Price of TV = Rs. 12300

Step-by-step explanation:

Given: Price of TV inclusive of sasles taxes = Rs. 13530

          Rate of sales tax = 10%

To find: Basic Price of TV.

Price if TV inclusive of Sales Tax = Selling Price of TV, SP = Rs. 13530

Taxes rate = 10 %

let, Price exclusive of tax = Basic Price = x

Tax money on TV set = $\frac{10}{100}\times x$

                                    = $\frac{1}{10}\times x$

                                    = $\frac{x}{10}$ ...................... (1)

Also, Tax Money on TV = Selling Price - Basic Price

                                       = 13530 - x ........................(2)

LHS of Equation 1 & 2 are equal

⇒ RHS is also equal

⇒ $\frac{x}{10}\:=\:13530-x$

⇒ $\frac{x}{10}+x\:=\:13530$

⇒ $\frac{x+10x}{10}\:=\:13530$

⇒ $\frac{11x}{10}\:=\:13530$

⇒ $11x=13530\times10$

⇒ $11x\:=\:135300$

⇒ $x\:=\:\frac{135300}{11}$

⇒ $x\:=\:12300$

⇒ Basic Price = Rs. 12300

Therefore, Basic Price of TV = Rs. 12300

Answer 2

Step-by-step explanation:

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