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# By selling at rs77 , some 2 1/4% shares of face value rs 100 , and investing the proceeds in 6% shares of the face value rs 100 ,selling at rs 110 , a person increased his income by rs 117 per annum . How many shares did he sell​?

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this has been taken from the book -ML aggarwal( avichal publication)class 10th , chapter3, shares and dividends

, a person increased his income by rs 117 per annum  by selling at rs77 ,
some 2 1/4% shares of face value rs 100 ,
and investing the proceeds in 6% shares of the face value rs 100 ,selling at rs 110 .
how can we find out the number of shares he sold.
please solve this question . ..

Q no. 34, exercise 3, ML Publication, share and dividends

Share

1. dividend per share = 9*100/4*100 = 2.25

let the no be x

Total dividend = 9x/4

When M. V = 77,

Amount received by selling = 77

share/investment = 77x

N. V = 100

Divi per share =( 6*100)/100 = 6

M. V = 110

No.of share =( 77x)/110 = 7x/10

Total dividend =( 7x)*(6/10) = 21x/5

(21x/5) – (9x/4)= 117

(84x – 45x)/20 = 117

39x = 117*20

x =( 117*20)/39

x = 60 Ans

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