Mithun went to a shop and bought things worth Rs. 75, out of which 90 Paise went on sales tax on taxable purchases. If the tax rate was 18%, then what was the cost of the tax free items? a) 12.5 b) 69.80 c) 19.7 d) 34.5 e) 69.1

1 Answer

Answer :

Answer: E

 Total cost of the items he purchased = Rs.75

 Given that out of this Rs.75, 90 Paise is given as tax

 => Total tax incurred = 90 Paise

 = Rs.90/100

 Let the cost of the tax free items = x

 Given that tax rate = 18%

 ∴ (75− 90/100 − x)18/100 = 90/100

 ⇒ 18(75 −0.9 −x) = 90

 ⇒ (75 − 0.9 − x) = 5

 x = 75 − 0.9 – 5

 X=69.1 

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