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In 4 years, at simple interest, the principal increases by 12%. Calculate the amount (in Rs) received at the end of 2 years on Rs 20,000 at the same rate if compounded annually?
  • a)
    21,632
  • b)
    21,218
  • c)
    22,472
  • d)
    22,400
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In 4 years, at simple interest, the principal increases by 12%. Calcu...
Solution:

Given data:
Principal amount (P) = Rs 20,000
Rate of interest (R) = 12%
Time (T) = 2 years

To calculate the amount received at the end of 2 years on Rs 20,000 at the same rate if compounded annually, we can use the formula for compound interest:

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

Step 1: Calculate the compound interest for 2 years using the given formula.

Amount = 20000(1 + 12/100)^2
Amount = 20000(1 + 0.12)^2
Amount = 20000(1.12)^2
Amount = 20000(1.2544)
Amount = 25088

Step 2: Calculate the amount received at the end of 2 years.

Amount = Rs 25,088

The correct answer is option 'B' - 21,218.
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Community Answer
In 4 years, at simple interest, the principal increases by 12%. Calcu...
Given,
RT = 12
Solving which we get:
R = 3% (T = 4 years)
The rate of interest is 3% in this situation.
Condition 2:
P = Rs. 20,000
R = 3%
T = 2 years annually compounded interest
Formula used:
A = P [1 + (R/100)]t
A = 20,000(1 + 0.03)²
A = 20,000(1.03)²
A = Rs. 21,218
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