question - by selling at Rs92,some 2and a half %shares of Rs 100 face value and investing the proceeds in 5%shares of face value Rs 100, selling at Rs 115 a person increased his income by Rs 90 a year. Find the number of shares sold and number of shares bought
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Let the number of shares be x Annual income = 2.5/100 × x × 100 = 2.5x SP of shares = Rs 92x Number of new shares = 92x/115 Annula income = 5/100 x 100 x 92x/115 = 92x/23 92x/23 - 2.5x = 90 (92x - 57.5x) / 23 = 90 34.5x/23 = 90 x = 60 Hence, the number of shares sold is 60. Number of shares purchased = (92 x 60) / 115 = 48 New income = (92 x 60) / 23 = 240 Investment = 92 x 60 = Rs 5520 Let the rate of interest be R. (5520 x R x 1) / 100 = 240 R = 4.35 %
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