David opened a Recurring Deposit Account in a bank and deposited ₹ 300 per month for two years. If he received ₹ 7725 at the time of maturity, find the rate of interest per annum.
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Step-by-step explanation:
It is given that
Amount deposited per month = ₹ 300
Period (x) = 2 years = 24 months
Amount received at the time of maturity = ₹ 7725
Consider R as the rate percent
We know that
Total principal for one month = 300 × [x (x + 1)]/ 2
Substituting the value of x
= 300 × (24 × 25)/ 2
By further calculation
= ₹ 90000
Interest = PRT/ 100
Substituting the values
= (90000 × R × 1)/ (100 × 12)
So we get
= 75R
So we get
300 × 24 + 75R = 7725
By further calculation
7200 + 75R = 7725
75R = 7725 – 7200 = 525
R = 525/75 = 7
Hence, the rate of interest is 7% p.a.
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