Multiple choice

Aditya invested certain amount in two different schemes $A$ and $B$. Schemes $A $offer $S.I@$ $12 p.c.p.a$. and schemes $B$ offer $C.I @$ $10 p.c.p.a$> interest accured on the amount invested in schemes $A$ in $2$ years was $Rs. 3600$ and the total amount invested was $Rs. 35000$. What was the interest accured on the amount invested in schemes $B$?

  1. $Rs. 4500$
  2. $RS. 4200$
  3. $Rs. 4000$
  4. $Cannot\ be\ determine$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Scheme A earns 3600 at 12% simple interest for 2 years, so the amount invested in A is 15000. Thus, 20000 was invested in B, and its two-year compound interest at 10% is 20000(1.1^2 - 1) = 4200, so option B is correct.

AI explanation

Let the amount invested in scheme A be x, so the amount invested in scheme B is (35000 - x). Using the simple interest formula, the interest from scheme A over two years is x multiplied by 12 multiplied by 2 divided by 100, which equals 3600. Solving this equation yields x = Rs. 15000, meaning Rs. 20000 was invested in scheme B. Using the compound interest formula, the interest accrued on scheme B over two years is 20000 multiplied by (1 + 10/100) squared, which gives a total amount of Rs. 24200, resulting in an interest of Rs. 4200.

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