. A man invests half of the amount he has in 4% stock
at 90 and the other half in 8% stock at 110. If he had
invested th

. A man invests half of the amount he has in 4% stock
at 90 and the other half in 8% stock at 110. If he had
invested the total amount in the 8% stock at 110 he
would have made 3500 more. How much did he
invest?​

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  1. Given : A man invests half of the amount he has in 4% stock at 90

    and the other half in 8% stock at 110.

    If he had invested the total amount in the 8% stock at 110 he would have made 3500 more.

    To Find : How much did he invest?​

    Solution:

    Let say total investment = 200

    Investment in each = 100 A

    4% stock at 90 = ( 100 / 90 ) 4A = 40A/9

    8% stock at 110. = (100/110) * 8A = 80A/11

    Total = 40A/9 + 80A/11

    = ( 440A + 720A)/99

    = ( 1160A)/99

    total amount in the 8% stock at 110 = (100/110) * 16A = 160A/11

    160A/11 = ( 1160A)/99 + 3500

    => 16A/11 = ( 116A)/99 + 350

    => 144A = 116A + 350*99

    => 28A = 350 * 99

    => A = 1,237.5

    => 200A = 247500

    investment made = 247500

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