If $25 \%$ of $24+20 \%$ of $x=16$, then find the value of $x$
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If $25 \%$ of $24+20 \%$ of $x=16$, then find the value of $x$

(a) 50

(b) 100

(c) 84

(d) 80
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Solution

$25 \%$ of $24+20 \%$ of $x=16$

$$

\begin{array}{l}

\Rightarrow \frac{25 \times 24}{100}+\frac{20 \times x}{100}=16 \\

\Rightarrow 8+\frac{x}{5}=16 \\

\Rightarrow \frac{x}{5}=16-6=10 \\

\therefore x=10 \times 5=50 ; \text { Ans. }

\end{array}

$$

$\therefore$ Correct option is$(a)$

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