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Mathematics

Kiran deposited ₹200 per month for 36 months in a bank’s recurring deposit account. If the banks pays interest at the rate of 11% per annum, find the amount she gets on maturity?

Banking

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Answer

Here,
P = money deposited per month = ₹200,
n = number of months for which the money is deposited = 36,
r = simple interest rate percent per annum = 11

Using the formula:

I=P×n(n+1)2×12×r100, we getI=(200×36×372×12×11100)=₹1221I = P \times \dfrac{n(n+1)}{2 \times 12} \times \dfrac{r}{100} \text{, we get} \\[0.7em] I = \Big( 200 \times \dfrac{36 \times 37}{2 \times 12} \times \dfrac{11}{100} \Big) \\[0.5em] \enspace\medspace = \text{₹1221}

Using the formula:

MV=P×n+I, we getMV=(200×36)+1221=7200+1221=₹8421MV = P \times n + I \text{, we get} \ MV = (200 \times 36) + 1221 \ \qquad\medspace = 7200 + 1221 \ \qquad\medspace = \text{₹8421}

∴ The amount Kiran will get at the time of maturity = ₹8421.

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