Multiple choice

In what time will Rs.$1000$ amount to Rs.$1331$ at $10$% p.a. compound interest?

  1. $4$ years
  2. $3$ years
  3. $2$ years
  4. $1$ year
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sum of roots of x^2 + ax + b = 0 is -a. Product is b. From first eq, roots 8, 2 give a = -10, b = 16. From second eq, roots 3, 3 give alpha = -6, b = 9. There is a contradiction in the value of b. Assuming the question implies finding roots for x^2 + ax + b = 0 using consistent values, the roots are 9 and 1.

AI explanation

Using the compound interest formula Amount equals Principal multiplied by (1 plus Rate divided by 100) raised to the time, we have 1331 equals 1000 multiplied by (1.10) to the power of n. This simplifies to (1.1) to the power of n equals 1.331. Recognizing that 1.1 cubed equals 1.331, the time required is 3 years.

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