Raghu borrowed Rs. 25000 at 20% p.a. compounded half-yearly. What amou...
Principal Amount:
- Raghu borrowed Rs. 25000.
Rate of Interest:
- The rate of interest is 20% p.a.
Compounding:
- The interest is compounded half-yearly.
Time Period:
- The time period is 112 years.
Calculation:
To find the amount of money that will clear Raghu's debt after 112 years, we need to calculate the compound interest.
Formula for Compound Interest:
- A = P(1 + r/n)^(nt)
Where:
A = Final amount
P = Principal amount
r = Rate of interest
n = Number of times interest is compounded per year
t = Time period in years
Calculation of Compound Interest:
- P = Rs. 25000
- r = 20% = 20/100 = 0.2
- n = 2 (compounded half-yearly)
- t = 112 years
- A = 25000(1 + 0.2/2)^(2*112)
- A = 25000(1 + 0.1)^224
- A = 25000(1.1)^224
- A = 25000(80.032)
- A = Rs. 2000800
Final Amount:
- The amount of money that will clear Raghu's debt after 112 years is Rs. 2000800.
Therefore, the correct answer is option C) Rs. 33275.