Question : If $x \%$ of $280=15 \%$ of $240+20 \%$ of $310$, then the value of $x$ is:
Option 1: 38
Option 2: 35
Option 3: 30
Option 4: 40
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Correct Answer: 35
Solution :
$x \%$ of $280=15 \%$ of $240+20 \%$ of $310$
⇒ $\frac{x}{100} \times 280=\frac{15}{100} \times 240 + \frac{20}{100}\times 310$
⇒ $\frac{x}{100} \times 280=36+62$
⇒ $\frac{x}{100} \times 280=98$
⇒ $x=\frac{98\times100}{280}$
⇒ $x=35$.
Hence, the correct answer is 35.
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