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CAT 1997 | Question: 115

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A candidate was asked to find $7/8$th of a positive number; he found $7/18$th of the same by mistake. If his answer was $770$ less than the correct one, then the original given number was

  1. $1260$
  2. $6160$
  3. $1584$
  4. None of these

1 Answer

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Let the number be 72x

7/18 of the number will be 28x

7/8 of the number will be 63x

It is given that 63x - 28x = 770

which gives x = 770/35 = 22

Original number is 72*22 = 1584 (Option C)
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