Multiple choice

If Rs. $44,200$ is divided between Ram and John so that Ram's share at the end of $6$ years is equal to John's share at the end of $4$ years, the rate of interest being $10$ per cent compounded yearly. Then John's share is.

  1. $42400$
  2. $44200$
  3. $24200$
  4. $42040$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ram's share be R and John's be J. R * (1.1)^6 = J * (1.1)^4. Thus R * (1.1)^2 = J, or 1.21R = J. Since R + J = 44200, R + 1.21R = 44200 => 2.21R = 44200 => R = 20000. John's share J = 1.21 * 20000 = 24200.

AI explanation

Let Ram's share be R and John's share be J, where R plus J equals 44200. Because the amounts are equal at the end of their respective terms, the equation is R(1.10)^6 = J(1.10)^4. Dividing both sides by (1.10)^4 gives R(1.10)^2 = J, so R multiplied by 1.21 equals J. Substituting J into the original sum equation gives 1.21R plus R equals 44200, meaning 2.21R equals 44200; solving this makes R equal to 20000, which means John's share is 24200.

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