15% of 45% of a number is 105.3. What is 24% of that number?
(a)374.4
(b)375
(c)385.5
(d)390
(e)None of these
Answer
Answer (as printed): A
Explanation
Let the number be $x$. Then, $15 \%$ of $45 \%$ of $x=105.3$ $\Rightarrow\left(\frac{15}{100} \times \frac{45}{100} \times x\right)=105.3$ $\Rightarrow \frac{27 x}{400}=105.3$ $\Rightarrow x=\left(\frac{105.3 \times 400}{27}\right)=1560$. $\therefore 24 \%$ of $1560=\left(\frac{24}{100} \times 1560\right)=374.4$.
Explanation as extracted from the printed page; notation may be imperfect.