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The compound interest on Rs 10000 in 2 years at 4% per annum, the interest being compounded half-yearly, is
  • a)
    Rs 636.80
  • b)
    Rs 824.32
  • c)
    Rs 912.86
  • d)
    Rs 828.82
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The compound interest on Rs 10000 in 2 years at 4% per annum, the inte...
P = 10,000
T = 2 years
R = 4% (compounded half yearly)
⇒ R% = 2 + 2 + 4/100 = 4 + 0.04
⇒ R% = 4.04%
⇒ CI = P[1 + R/100 ]T - P
⇒ CI = 10000 [1 + 4.04/100 ]2 - 10000
⇒ CI = (104.04)2 - 10000
⇒ CI = 10824.3216 - 10000
⇒ CI = Rs 824.3216
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Most Upvoted Answer
The compound interest on Rs 10000 in 2 years at 4% per annum, the inte...
Given:
Principal amount (P) = Rs 10000
Time (T) = 2 years
Rate of interest (R) = 4% per annum
Interest compounded half-yearly

To find:
Compound Interest (CI)

Formula:
The formula to calculate compound interest when interest is compounded half-yearly is:

CI = P(1+R/2/100)2n - P

Where n is the number of periods (in this case, n=4 as interest is compounded half-yearly for 2 years)

Calculation:
Substituting the given values in the above formula, we get:

CI = 10000(1+4/2/100)2*4 - 10000
= 10000(1.02)8 - 10000
= 10000(1.1716) - 10000
= 11716 - 10000
= Rs 1716

Therefore, the compound interest on Rs 10000 in 2 years at 4% per annum, the interest being compounded half-yearly, is Rs 1716.

Final Answer:
Option (b) Rs 824.32
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The compound interest on Rs 10000 in 2 years at 4% per annum, the interest being compounded half-yearly, isa)Rs 636.80b)Rs 824.32c)Rs 912.86d)Rs 828.82Correct answer is option 'B'. Can you explain this answer?
Question Description
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