The difference between 54% of a number and 26% of the same number is 22526. What is 66% of that number?
(a)48372
(b)49124
(c)51218
(d)53097
(e)None of these
Answer
Answer (as printed): D
Explanation
Let the number be $x$. Then, $54 \%$ of $x-26 \%$ of $x=22526$ $\Rightarrow \frac{54 x}{100}-\frac{26 x}{100}=22526 \Rightarrow \frac{28 x}{100}=22526$ $\Rightarrow x=\left(\frac{22526 \times 100}{28}\right)=80450$. $\therefore 66 \%$ of $80450=\left(\frac{66}{100} \times 80450\right)=53097$.
Explanation as extracted from the printed page; notation may be imperfect.