6. In how much time will a sum of money amount to 4/3 of itself at 13 1/3% p.a.?
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4
Answer:
let the time is x years and
sum of money is Rs y
then amount is Rs 4y/3
interest=Rs(4y/3-y)=Rs (4y-3y)/3=Rs y/3
rate of interest =13 1/3%=40/3%
so,
40.y.x/3.100=y/3
=> 40xy=100y
=> 40x=100
=> x=100/40
=> x=5/2
=> x=2 1/2
so the required time us 2 1/2 years
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