Question

9. What should be price before VAT of a pair of shoes for Rs 300 including a tax of 10%.
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Answer 1

Step-by-step explanation:

300+ (300×10/100)

300 + 30= 330

so, it's prize will rise up to Rs. 330

Answer 2

Given :-

The cost of a pair of shoes including a tax of 10% is Rs. 300

To find :-

The price of the pair of shoes before VAT.

Solution :-

Let the price of the pair of shoes before VAT be Rs. X

VAT on the pair of shoes = 10%

The Cost of the pair of shoes including VAT

= Price + VAT

= X + 10% of X

= X + 10%×X

= X+(10/100)×X

= X +(1/10)×X

= X+(1×X/10)

= X+(X/10)

= (10X+X)/10

= Rs. 11X/10

According to the given problem

The Cost of the pair of shoes including VAT

= Rs. 300

Therefore, 11X/10 = 300

=> 11X = 300×10

=> 11X = 3000

=> X = 3000/11

=> X = 272.72...

Therefore, X = Rs. 272.72

Answer :-

The price of the pair of shoes before VAT is

Rs. 272.72

Check :-

The cost of shoes = Rs. 272.72

VAT on it = 10%

VAT = 10% of 272.72

=> VAT = (10/100)×272.72

=> VAT = 27.272

=> VAT = Rs. 27.3

Now,

The Price after VAT = 272.72+27.3

=> Rs. 300.3

=> Rs. 300

Verified the given relations in the given problem