an amount of rs 100000 is invested in two types of shares. the first yields an intrest of 9% p.a and the second 11% p.a if the total intrest at the end of one year is 39/4% then find the amount invested in each shares
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Let the two shares be A and B.
Let the amount invested in share A be x.
The amount invested in share B is :
= 100000 - x
If A yields 9%, the accumulated amount is :
x(1.09)
For B it will be :
100000 - x (1.11) = 111000 - 1.11x
The total accumulated amount is :
100000(1.0975) = 109750
Equating the three :
1.09x + 111000 - 1.11x = 109750
-0.02x = - 1250
x = 1250/0.02
x = 62500
The first share is : 62500
The second share : 100000 - 62500 = 37500
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