Question

If 8 % tax is included in the prices, find the original price of a shampoo bottle bought for RS.180​

Answer 1

Answer:

The Original price of the shampoo bottle is Rs. 166.66 (approx)

Step-by-step explanation:

Given :

Tax = 8%

Price including tax = Rs. 180

To find :

Original price of the shampoo

Solution :

Let the original price be y

$\bigstar \: \boxed{\sf{y + (8\% \: of \: y) = 180}}$

$\sf{\implies} \: y + \dfrac{8}{100} \times y = 180 \\ \\ \sf{\implies} \:y + \dfrac{8y}{100} = 180 \\ \\ \sf{\implies} \: \frac{100y + 8y}{100} = 180 \\ \\ \sf{\implies} \: \frac{108y}{100} = 180 \\ \\ \sf{\implies} \:108y = 180 \times 100 \\ \\ \sf{\implies} \:108y = 18000 \\ \\ \sf{\implies} \:y = \dfrac{18000}{108} \\ \\ \sf{\implies} \:y = 166.6 \: (approx)$

$\therefore$ The Original price of the shampoo bottle is Rs. 166.66 (approx)

Answer 2

Answer:

The Original price of the shampoo bottle is Rs. 166.66 (approximately)

$\bold{\large{\underline{\underline{\sf{StEp\:by\:stEp\:explanation:}}}}}$

Given :

Tax = 8%

Price including tax = Rs. 180

To find :

Original price of the shampoo

Solution :

Let the original price be y

$\boxed{\tt{y + (8\% \: of \: y) = 180}}$

$\begin{lgathered}\tt{\implies} \: y + \dfrac{8}{100} \times y = 180 \\ \\ \tt{\implies} \:y + \dfrac{8y}{100} = 180 \\ \\ \tt{\implies} \: \frac{100y + 8y}{100} = 180 \\ \\ \tt{\implies} \: \frac{108y}{100} = 180 \\ \\ \tt{\implies} \:108y = 180 \times 100 \\ \\ \tt{\implies} \:108y = 18000 \\ \\ \tt{\implies} \:y = \dfrac{18000}{108} \\ \\ \tt{\implies} \:y = 166.6 \: (approx)\end{lgathered}$

The Original price of the shampoo bottle is Rs. 166.66 (approximately)