InterviewSolution
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InterviewSolution
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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. Find the smallest value of ’n’. |
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Answer» Let the cost price = x say ∴ If x is increased 4% sales tax is added then x + 4% of x = n x + 4/100 × x = n = \(\frac{104x}{100}\) = n = x = n × \(\frac{100}{104}\) = \(\frac{25\,\times\,n}{26}\) ∴ n should be a least multiple of 26, then only the value of the article should be represented in only rupees. ∴ x = \(\frac{25\,\times\,13}{26} = \frac{25}2\) = 12.5 [∵n = 13, 26, 39. from them 13 should betaken] :. Required value of the article =12.50 + \(\frac{4}{100}\) x 12.5 = 12.50 + 0.5 = ₹13 |
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