Question

A Super-Bazar prices an item in rupees and paise so that when 4% sales tax is added, no
rounding is necessary because the result is exactly in 'n' rupees, where 'n' is a positive
integer. Find the smallest value of'n'.
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Answer 1

Answer:

13

Step-by-step explanation:

Given A Super-Bazar prices an item in rupees and paise so that when 4% sales tax is added, no

rounding is necessary because the result is exactly in 'n' rupees, where 'n' is a positive

integer. Find the smallest value of'n'.

Let the final rupees of an item be n

Let initial rupees before tax be x

Given sales tax = 4%

So final rupee = initial rupees + sales tax

       n = x + 4/100 x

        n = x + 1/25 x

       n = 26 / 25 x

       x = 25 / 26 n

So n is a factor of 26 and factor of 26 are 1, 2, 13, 26

Now n is Rs 13 since it is smallest  for x to be a  terminating decimal.