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'.
​

Answer 1

Step-by-step explanation:

Let initial amount be x

Final amount = Initial amount + tax

n=x+

100

4

×x

n=x×

100

104

x=n×

104

100

=

26

25n

∴n must be a factor of 26(1,2,13,26) but x must be a nonrecurring decimal so smallest value of n can be 13.