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On a sum of Rs. 25000, the interest at a rate of 10% p.a. compounded annually. After 2 years it is what percentage of the total payable amount?
  • a)
    14.65%
  • b)
    17.35%
  • c)
    20%
  • d)
    21%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
On a sum of Rs. 25000, the interest at a rate of 10% p.a. compounded a...
GIVEN:
Principal = Rs. 25000
Rate = 10%
Time = 2%
FORMULA USED:
When the interest is compounded annually,
Amount = Principal × (1 + Rate/100)Time
CALCULATION:
Amount = 25000 × (1 + 10/100)2 = 25000 × 1.21 = Rs. 30250
Interest = Amount - Principal = 30250 - 25000 = Rs. 5250
∴ Required percentage = (5250/30250) × 100 = 17.35%
ALTERNATIVE METHOD:
Let the Principal = Rs 100.
Amount will be 1.1 × 1.1 × 100 = 121.
Interest= 121-100=21
Required percentage= 21/121~17-18%
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Most Upvoted Answer
On a sum of Rs. 25000, the interest at a rate of 10% p.a. compounded a...
Calculation:
Given:
Principal amount (P) = Rs. 25000
Rate of interest (R) = 10% p.a.
Time (T) = 2 years

To find the total payable amount after 2 years, we use the formula for compound interest:

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

Substituting the given values:
A = 25000 * (1 + 10/100)^2
A = 25000 * (1 + 0.1)^2
A = 25000 * (1.1)^2
A = 25000 * 1.21
A = 30250

Percentage Calculation:

To find the percentage, we need to calculate the difference between the total payable amount and the principal amount, and then express it as a percentage of the principal amount.

Difference = Total Payable Amount - Principal Amount
Difference = 30250 - 25000
Difference = 5250

Percentage = (Difference / Principal Amount) * 100
Percentage = (5250 / 25000) * 100
Percentage = 21%

Therefore, the total payable amount after 2 years is 21% more than the principal amount.

Hence, option (B) 17.35% is incorrect. The correct answer is option (D) 21%.
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On a sum of Rs. 25000, the interest at a rate of 10% p.a. compounded annually. After 2 years it is what percentage of the total payable amount?a)14.65%b)17.35%c)20%d)21%Correct answer is option 'B'. Can you explain this answer?
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On a sum of Rs. 25000, the interest at a rate of 10% p.a. compounded annually. After 2 years it is what percentage of the total payable amount?a)14.65%b)17.35%c)20%d)21%Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about On a sum of Rs. 25000, the interest at a rate of 10% p.a. compounded annually. After 2 years it is what percentage of the total payable amount?a)14.65%b)17.35%c)20%d)21%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a sum of Rs. 25000, the interest at a rate of 10% p.a. compounded annually. After 2 years it is what percentage of the total payable amount?a)14.65%b)17.35%c)20%d)21%Correct answer is option 'B'. Can you explain this answer?.
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