Practice Test Discussion

The difference between the $\frac{3}{4} t h$ of $\frac{4}{5} t h$ of a number and $\frac{1}{6} t h$ of $\frac{2}{5} t h$ of the same number is 648. what is the number ?

[IOB (PO),2008]

1110

1215

1325

1440

None of these

Explanation

Let the number be x.

Hence,

$\frac{3}{4} \times \frac{4}{5} \times x - \frac{1}{6} \times \frac{2}{5} \times x = 648 \frac{3 x}{5} - \frac{x}{15} = 648 8 x = 648 \times 15 x = \frac{648 \times 15}{8} x = 81 \times 15 = 1215$

Hence, Option B is correct.

Arithmetics

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