Multiple choice

On dividing Rs. $1850$ into two parts $1st$ part is invested at $5$% and the second part is invested at $10$%. If the interest is compounded annually, then amounts become same in two years. What is the amount that is invested at $10$%?

  1. Rs. $968$
  2. Rs. $882$
  3. Rs. $920$
  4. Rs. $1,020$
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Let the first part be x, so the second part is 1850 minus x. Setting their compound amounts equal for 2 years gives the equation x(1.05)^2 = (1850 - x)(1.10)^2. Solving for x yields x = 968 and the second part equals 882. The amount invested at 10% is Rs. 882.

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