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$8 \%$ of $A$ is added to $A$, gives the number that what will be the number multiplied to A?

(a) $1.08$

(b) $\frac{7}{40}$

(c) $\frac{52}{9}$

(d) $5.04$

Solution

Let the number be $x$

$\therefore$ According to question,

\begin{aligned} & A+8 \% \text { of } A=A \times x \\ \Rightarrow & A+\frac{8 A}{10 C}=A \times x \\ \Rightarrow & \frac{100 A+8 A}{100}=A \times x \\ \Rightarrow & \frac{108 A}{100}=A \times x \\ \Rightarrow & \frac{108 A}{100A}=x \\ \therefore & x=1.08 ; \text { Ans. } \\ \therefore & \text { Correct option is }(\mathrm{a}) \end{aligned}

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