Multiple choice

Rs.$1000$ is given to $A,B$ and $C$ in some ratio. $A$ is wrongly given double and $C$ is wrongly given half, which is Rs.$500$ and Rs.$250$ respectively. How much is given to $B$?

  1. $500$
  2. $250$
  3. $750$

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A was given double (2A_correct = 500 => A_correct = 250). C was given half (C_correct/2 = 250 => C_correct = 500). Total = A + B + C = 1000. 250 + B + 500 = 1000 => B = 250.

AI explanation

Since A was given double the intended correct amount, A's correct share is half of the wrongly distributed Rs. 500, which is Rs. 250. C was given half the correct amount, so C's correct share is twice the wrongly distributed Rs. 250, which is Rs. 500. The total correct amount is Rs. 1000, so subtracting A's and C's correct shares leaves 1000 - 250 - 500 = Rs. 250 for B. B is given Rs. 250.

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