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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 Answer

  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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