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Raghu borrowed Rs. 25000 at 20% p.a. compounded half-yearly. What amount of money will clear his debt after ?

  • a)
    Rs. 28275

  • b)
    Rs. 36275

  • c)
    Rs. 33275

  • d)
    Rs. 38275

Correct answer is option 'C'. Can you explain this answer?
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Raghu borrowed Rs. 25000 at 20% p.a. compounded half-yearly. What amou...
 
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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.
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Raghu borrowed Rs. 25000 at 20% p.a. compounded half-yearly. What amount of money will clear his debt after ?a)Rs. 28275b)Rs. 36275c)Rs. 33275d)Rs. 38275Correct answer is option 'C'. Can you explain this answer?
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