Mr raha opens a recurring deposit account of rupees 200 per month at 10% interest per annum if she gets rupees 6775 at the time of maturity find the total time for which the account was held
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here is the answer
amount of recurring deposit per month = Rs. 1000
Rate of interest = 10 % p.a.
let period = n months
Amount of interest = 5550
Recurring deposit interest is given by.......(1)
I= P×[n(n+1)/(2×12] (r/100).......(1)
where p is monthly contribution,
p= RS.1000
n= number of months,
r= rate of interest= 10%
and I= interest= Rs.5550
hence by substituting the values in eqn(1) we get
1000×[n(n+1)/24]×(10/100)= 5550 or
n (n+1)=(24/100)×5550= 1332
hence, n2+n-1332= (n+37) (n-36)=0
hence number of months=36
n=36
it means 3 years
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