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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SSC Question

By SOURAV KUMAR · 4 weeks ago ·SSC
Engineers Adda answered 4 weeks ago
Let the principle be Rs. P
Simple interest = (Principle × time × Rate)/100 = (P × 10 × rate)/100
According to question,
⇒ (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

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