A person deposits rupees x in saving bank account at the rate of 5% per annum and rupees y in fixed deposit at 10% per annum. At the end of first year he gets rupees 400 as total interest. If he had deposited rupees y in savings bank account and rupees x in fixed deposit he would have got rupees 350 as total interest. Find the total amount he deposited.
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Answer:
p=x. p=y
t=1. t=1
r=5%. . r=10%
x×1×5/100+y×1×10/100=400
5x/100+10y/100=400
5x+10y=40000
x+2y=8000-----(1)
2nd case
x×10/100+y×5/100=350
10x+5y=35000
2x+y=7000----(2)
multiply by 2 in equation 1
2x+4y=16000
2x+y. =7000
by subtracting
3y= 9000
y=9000/3=3000
putting the value of y in equation 1
x=8000-2y
=8000-6000
=2000
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