Question

if 5% VAT is included in the prices, find the original price if a shampoo bottle bought for Rs.210
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Answer 1

$\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}$

GiveN:

• VAT added = 50%
• Shampoo bought for Rs. 210

To FinD:

• Original price of Shapoo?

Step-wise-Step Explanation:

Let the original price of Shapoo be x.

After VAT is added = x + 5% of x.

= x + 5/100 x

= x(1 + 1/20)

= x(21/20)

= 21x/20

According to question,

⇒ Original price + VAT = Rs. 210

⇒ 21x/20 = Rs. 210

⇒ x = Rs. 210 × 20/21

⇒ x = Rs. 200

Thus,

• The original price of the Shampoo is Rs.200

Explore more!!

• VAT (Value added tax) is a tax charged on the selling price of different goods which varies accordingly.

Answer 2

$\: \underline{\bf{Given:-} \: }$

⛦VAT included in price = 5%

⛦Product bought for Rs.210

$\: \underline{\bf{Find:-} \: }$

⛤Original Price of the shampoo

$\: \underline{\bf{Solution:-} \: }$

Let, Marked Price = Rs. 100

V.A.T = 5%

Thus, Amount of V.A.T = 5% of 100

$\qquad \bf{\implies \dfrac{5}{100} \times 100}$

$\qquad \bf{\implies Rs.5}$

Now, Total Price = 100 + 5

$\qquad$ = Rs.105

Here, Price of Shampoo = 210

Now,

$\bf{ \mapsto Original \: Price = \dfrac{100}{105} \times 210}$

$\bf{ \mapsto Original \: Price = \dfrac{21000}{105}}$

$\bf{ \mapsto Original \: Price = Rs.200}$

$\small{\sf{ \therefore \underline{Original \: Price = Rs.200}}}$