A man sold a certain number of ₹20 shares ,payingb8% dividend , at ₹18 and invested the proceeds in ₹10 shares ,paying 12% dividend , at 50% premium. If his annual dividend income decreases by ₹120, find the number of shares sold by him.
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•Step-by-step explanation: Let x be the no. of shares sold
•income on one share = 8% of 20 = 8/5 Rs.
•total income on x shares = 8/5x
•since x shares is sold at Rs. 18 , sale value of shares = 18x
•18x shares is invested in Rs.10 shares at 50% premium
•hence new value of share = 1+50/100 = 15 Rs.
•Total no. of shares bought = 18x/15
•dividend received on one share = 12% of 10 Rs = 6/5
•Therefore total income on new shares = 6/5x6x/5 = 36x/5
•loss in income = 8x/5 -36x/5 = 4x/25
•Given 4x/25 = 120
x = 750
●.The no. of shares sold = 750
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