Question

Find the original price of a shampoo bottle which is bought for Rs 324 if 8% VAT is included in it.​

Answer 1

Answer:

The original price of the shampoo is Rs. 300.

Step-by-step explanation:

Given:

VAT rate = 8%

Price of the shampoo with VAT included = Rs. 324

To find:

Original price of shampoo

Solution :

Let the original price be y.

$\boxed{\sf{\left(8\% \: of \: y\right) + y = 324}}$

$\sf{\longrightarrow} \: \left(\dfrac{8}{100} \times y\right) + y = 324$

$\sf{\longrightarrow} \: \dfrac{8y}{100} \ + y = 324$

$\sf{\longrightarrow} \: \dfrac{108y}{100} = 324$

$\sf{\longrightarrow} \: 108y = 32400$

$\sf{\longrightarrow} \: y = \dfrac{32400}{108}$

$\sf{\longrightarrow} \: y = 300$

Original price = Rs. 300

Therefore, the original price of the shampoo is Rs. 300.

Answer 2

Answer:

Given :-

• A shampoo bottle which is bought for Rs 324 and VAT is included in it.

To Find :-

• What is the original price of a shampoo bottle.

Solution :-

Let, the original price of a shampoo bottle be x.

$\bigstar \: \boxed{\sf{According\: to\: the\: question\: :-}}$

↦ $\sf \dfrac{8}{100} \times x + x =\: 324$

↦ $\sf \dfrac{8x}{100} + x =\: 324$

↦ $\sf \dfrac{8x + 100x}{100} =\: 324$

↦ $\sf \dfrac{108x}{100} =\: 324$

By doing cross multiplication we get,

↦ $\sf 108x =\: 100 \times 324$

↦ $\sf 108x =\: 32400$

↦ $\sf x =\: \dfrac{\cancel{32400}}{\cancel{108}}$

➠ $\sf\boxed{\bold{x =\: Rs\: 300}}$

$\therefore$ The original price of a shampoo bottle is Rs 300 .