Question

sahil bought an air conditioner for 33000 including tax 10%. find the price of the air conditioner before GST was added​

Answer 1

Answer:

Rs 30,000

Step-by-step explanation:

Let the Price of A.C before GST was added be Rs-x

Now,

$\sf \: Cost \: Price + GST =Rs \: 33000$

$\sf \: x + 10\% \: of \: x = 33000$

$\sf \implies \: x + \dfrac{10}{100} x = 33000$

$\sf \implies \dfrac{110x}{100} = 33000$

$\sf \implies \: x = \dfrac{33000 \times 100}{110}$

$\boxed{\boxed{x=\: Rs\: 30,000}}$

$\therefore$ Price of A.C before GST was added is Rs 30,000

Answer 2

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

Assuming :-

The price of air conditioner before GST was added be a.

Given :-

Sahil brought an air conditioner for 33000 Rupees including 10 % tax.

Solution :-

Cost of air conditioner + GST = 33,000

_______________[Put Values]

x + 10% of x = 33,000

$\implies\sf{x + \frac{10x}{100} }$

Taking LCM

$\implies \sf{ \frac{100x + 10x}{100} = 33000 } \\ \\ \implies \sf{ \frac{110x}{100} = 33000} \\ \\ \sf \implies{110x = 33000 \times 100 } \\ \\ \implies \sf{110x = 3300000} \\ \\ \implies\sf{x = \frac{ \cancel3300000}{ \cancel110} } \\ \\ \sf \implies{30000}$

Hence,

The cost of air conditioner before GST was added is 30,000.

$\huge{\boxed{\red{\sf{30,000}}}}$