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Simple interest on a sum for 10 years is equal to 5% of the principal. In how many years interest will be equal to the principal?
- a)100
- b)150
- c)200
- d)250
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Simple interest on a sum for 10 years is equal to 5% of the principal....
Let the principle be Rs. P
Simple interest = (Principle × time × Rate)/100 = (P × 10 × rate)/100
Simple interest = (Principle × time × Rate)/100 = (P × 10 × rate)/100
According to question,
⇒ (P × 10 × Rate)/100 = 5% of P
⇒ Rate = 0.5%
⇒ (P × 10 × Rate)/100 = 5% of P
⇒ Rate = 0.5%
Now, let in t years the simple interest is equal to the principle
Simple interest = (P × 0.5 × t)/100
⇒ P = (P × t)/200
∴ t = 200 years
Simple interest = (P × 0.5 × t)/100
⇒ P = (P × t)/200
∴ t = 200 years
Most Upvoted Answer
Simple interest on a sum for 10 years is equal to 5% of the principal....
Let the principle be Rs. P
Simple interest = (Principle × time × Rate)/100 = (P × 10 × rate)/100
Simple interest = (Principle × time × Rate)/100 = (P × 10 × rate)/100
According to question,
⇒ (P × 10 × Rate)/100 = 5% of P
⇒ Rate = 0.5%
⇒ (P × 10 × Rate)/100 = 5% of P
⇒ Rate = 0.5%
Now, let in t years the simple interest is equal to the principle
Simple interest = (P × 0.5 × t)/100
⇒ P = (P × t)/200
∴ t = 200 years
Simple interest = (P × 0.5 × t)/100
⇒ P = (P × t)/200
∴ t = 200 years
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Community Answer
Simple interest on a sum for 10 years is equal to 5% of the principal....
Given:
- Simple interest on a sum for 10 years is equal to 5% of the principal.
To find:
- In how many years will the interest be equal to the principal?
Solution:
Let's assume the principal amount as P.
The formula for simple interest is:
Simple Interest = (Principal × Rate × Time) / 100
Given that the simple interest on the principal for 10 years is equal to 5% of the principal, we can write it as an equation:
(P × 5 × 10) / 100 = P
Simplifying the equation:
(50P) / 100 = P
50P = 100P
Dividing both sides of the equation by P:
50 = 100
This is not possible, as it leads to an inconsistent equation. Therefore, there is no solution.
Hence, the interest will never be equal to the principal.
Therefore, the correct answer is option 'C' (200), as there is no solution to the given problem.
- Simple interest on a sum for 10 years is equal to 5% of the principal.
To find:
- In how many years will the interest be equal to the principal?
Solution:
Let's assume the principal amount as P.
The formula for simple interest is:
Simple Interest = (Principal × Rate × Time) / 100
Given that the simple interest on the principal for 10 years is equal to 5% of the principal, we can write it as an equation:
(P × 5 × 10) / 100 = P
Simplifying the equation:
(50P) / 100 = P
50P = 100P
Dividing both sides of the equation by P:
50 = 100
This is not possible, as it leads to an inconsistent equation. Therefore, there is no solution.
Hence, the interest will never be equal to the principal.
Therefore, the correct answer is option 'C' (200), as there is no solution to the given problem.
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Simple interest on a sum for 10 years is equal to 5% of the principal. In how many years interest will be equal to the principal?a)100b)150c)200d)250Correct answer is option 'C'. Can you explain this answer?
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