CAT 1997 | Question: 115

Question

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

• A. $1260$
• B. $6160$
• C. $1584$
• D. None of these

Answer 1

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)