A man invested equal sum of money , one at 6% S.I. and the other 5% C.I . if the former earns rs. 637.50 more as intrest at the end of 2 yrs . find the his investment in each case and the total amount invested .
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Let the sum be x and y.
then according to the question
⇒
100
x×6×2
+y×7×2/100=354
⇒12x+14y=35400
⇒6x+7y=17700.....................eq1
One-fourth of the first sum is equal to one-fifth of the second sum
Then
4
x
=
5
y
⇒5x=4y
⇒5x−4y=0...........eq2
Multiply eq 1 by 4
⇒24x+28y=70800.............eq3
Multiply eq 2 by 7
⇒53x−28y=0.................eq4
Add eq 3 and eq4
⇒59x=70800
⇒x=1200
Put the value of x In eq2
⇒5×1200−4y=0
⇒−4y=−6000
⇒y=1500
Total sum=1200+1500=2700Rs.
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