. 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?
Answers
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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