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Find the amount on Rs.12500 for 2 years compounded annually, the rate of interest being 15% for the first year and 16% for the second year.

  • a)
    Rs.16500

  • b)
    Rs.16750

  • c)
    Rs.16675

  • d)
    Rs.16275

Correct answer is option 'C'. Can you explain this answer?
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Given:
Principal amount (P) = Rs.12500
Rate of interest for the first year (R1) = 15%
Rate of interest for the second year (R2) = 16%
Time (T) = 2 years

To find:
Amount after 2 years compounded annually

Solution:
To find the amount after 2 years compounded annually, we can use the formula for compound interest:

Amount (A) = P(1 + R/100)^T

Where,
A = Amount after T years
P = Principal amount
R = Rate of interest
T = Time in years

Calculation:
For the first year:
Principal amount (P1) = Rs.12500
Rate of interest (R1) = 15%
Time (T1) = 1 year

Amount after the first year (A1) = P1(1 + R1/100)^T1
= 12500(1 + 15/100)^1
= 12500(1 + 0.15)
= 12500(1.15)
= Rs.14375

Now, for the second year:
Principal amount (P2) = A1 (amount after the first year)
= Rs.14375
Rate of interest (R2) = 16%
Time (T2) = 1 year

Amount after the second year (A2) = P2(1 + R2/100)^T2
= 14375(1 + 16/100)^1
= 14375(1 + 0.16)
= 14375(1.16)
= Rs.16675

Therefore, the amount after 2 years compounded annually is Rs.16675.

Hence, the correct answer is option 'C' Rs.16675.
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Find the amount on Rs.12500 for 2 years compounded annually, the rate of interest being 15% for the first year and 16% for the second year.a)Rs.16500b)Rs.16750c)Rs.16675d)Rs.16275Correct answer is option 'C'. Can you explain this answer?
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