Q16 of 48 Page 109

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 = n

Let the initial rupees before tax = x


Sales tax = 4%


Initial rupees + sales tax = final rupee


⇒





Here, n should be the factor of 26.so, the factor of 26 are 1,2,13,26.


For X to be terminating decimal, n can be either 13 or 26. 13 is smaller


∴ n = 13


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