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I purchased a hair dryer for Rs 5,400, including 8% VAT. Find the price before VAT was added. - Mathematics

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Question

I purchased a hair dryer for Rs 5,400, including 8% VAT. Find the price before VAT was added.

Sum
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Solution

Original price of the item before VAT is considered = x

As per the question, the price is inclusive of VAT

x + 8% of x = 5400

`x+(8x)/100` = 5400

= `(108x)/100` = 5400

`x = (5400×100)/108`

x = 5000

Thus, the price of the hair dryer before the addition of VAT was Rs 5,000.

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Chapter 8: Comparing Quantities - Exercise 8.2 [Page 125]

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NCERT Mathematics [English] Class 8
Chapter 8 Comparing Quantities
Exercise 8.2 | Q 10 | Page 125
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