Anu and Manu deposit 15,000 rupees each in a bank giving 10% interest annually. After one year, Anu withdraw the entire amount including interest and redeposited it the same day. After one more year, both withdrew the total amounts. Who got more? How much more?
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The formula for compound interest, including principal sum, is:
A=P(1+
n
r
)
nt
Where:
A= the future value of the investment/loan, including interest
P= the principal investment amount (the initial deposit or loan amount)
r= the annual interest rate (decimal)
n= the number of times that interest is compounded per unit t
t= the time the money is invested or borrowed for
In our given problem,
P= Rs. 20000, r=6%=0.06, n=2, t=1 year
∴, the amount received after the term of 1 year will be given by,
A=20000(1+
2
0.06
)
2×1
⇒A=20000(1+0.03)
2
⇒A=20000(1.03)
2
⇒A=Rs.21218
∴, the amount Sheetal will get after 1 year is Rs.21,218
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