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In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?
  • a)
    1 year
  • b)
    5 years
  • c)
    4 years
  • d)
    2 years
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?a...
When we calculate compound interest, we use this formula:
Amount = Principal × (1 + Rate/100)n
  • Principal (P) = the money we start with
  • Rate (R) = the interest rate per year
  • n = the number of years (time)
  • Amount (A) = the money we get after adding interest
In the question:
Principal = Rs. 800, Amount = Rs. 882, Rate = 5% per year
So,
882 = 800 × (1 + 5/100)n

= 800 × (1.05)n
Now divide both sides by 800:
882 ÷ 800 = (1.05)n

1.1025 = (1.05)n
Let’s check powers of 1.05:
  • For 1 year → (1.05)1 = 1.05 (too small)
  • For 2 years → (1.05)2 = 1.1025 (correct)
So, n = 2 years.
The money will become Rs. 882 in 2 years.
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