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

Let the final rupees is n and initial before tax addition is xRs.So according to the question, x+4100x=nx+125x=n25x+x25=n26x25=nx=2526nNow n must be a factor of 26 which are 1,2,13,26 . For x to be terminating decimaln can be 13 or 26. 13 is smallerSo n =Rs. 13

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