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,
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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.
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Answer:
Let initial amount be x
Final amount = Initial amount + tax
n=x+ 4/100 × x
n=x × 104/100
x=n × 100/104 = 25n/26
∴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.
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