Calculate the compound interest on rs 40,000 for 9 months at the rate of 20 % per annum, when the interest is compounded quarterly.
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Answer:
Given data: principle amount, P 40000
Rs, rate of interest, r = 20 % per annum and time, n = 9 months.
Solution: We have to find the compound interest.
according to question,
→ Compound interest is quarterly so time = 9/3 = 3 quarters.
=>
Rate of interest, r = 20% per annum =
20/4 = 5% per quarter.
Now, we use formula,
⇒ A=P*(1+r/100)^n
→ A = 40000 *(1 + 5/100)³
A = 40000*(1 + 0.05)³
⇒ A=40000* (1.05)³
A = 40000* 1.157625
→ A = Rs 46305
Now;
compound interest - A - P
compound interest = 4630540000
compound interest = Rs 6305
Answer: Therefore compound interest is
Rs 6305.
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