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The compound interest (in Rupees) on Rs 5,600 for 3/2 years at 10% per annum, compounded annually is
  • a)
    Rs 882.70
  • b)
    Rs 873.50
  • c)
    Rs 868
  • d)
    Rs 840
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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The compound interest (in Rupees) on Rs 5,600 for 3/2 years at 10% per...
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The compound interest (in Rupees) on Rs 5,600 for 3/2 years at 10% per...

- **Principal Amount:** Rs 5,600
- **Rate of Interest:** 10% per annum
- **Time:** 3/2 years

**Calculation:**

- **Interest Formula:** A = P(1 + r/n)^(nt)
- **Where:**
- A = Total amount after n years
- P = Principal amount
- r = Rate of interest per annum
- n = Number of times interest is compounded in a year
- t = Time period in years

- **Substitute the given values:**
- P = Rs 5,600
- r = 10% = 0.10
- t = 3/2 years
- As the interest is compounded annually, n = 1

- **Calculate the Total Amount after 3/2 years:**
A = 5600(1 + 0.10/1)^(1*(3/2))
A = 5600(1 + 0.10)^1.5
A = 5600(1.10)^1.5
A = 5600(1.331)
A = Rs 7456

- **Calculate the Compound Interest:**
Compound Interest = Total Amount - Principal Amount
CI = Rs 7456 - Rs 5600
CI = Rs 1856

Therefore, the compound interest on Rs 5,600 for 3/2 years at 10% per annum, compounded annually is Rs 1856.
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The compound interest (in Rupees) on Rs 5,600 for 3/2 years at 10% per annum, compounded annually isa)Rs 882.70b)Rs 873.50c)Rs 868d)Rs 840e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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