Multiple choice

A certain amount was to be distributed among A, B and C in the ratio 2 : 3 : 4, but was erroneously distributed in the ratio 7 : 2 : 5. As a result of this, B got Rs. 40 less. What is the amount?

  1. Rs. 210

  2. Rs. 270

  3. Rs. 230

  4. Rs. 280

  5. None of these
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A Correct answer
AI explanation

Let the total amount be x. In the correct ratio of 2 : 3 : 4, B's intended share is 3/9 of the total, which is x/3. In the erroneous ratio of 7 : 2 : 5, B's actual share is 2/14 of the total, which is x/7. The difference is x/3 - x/7 = 40, meaning 4x/21 = 40, so x = 210. The required amount is Rs. 210.

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