What will come in place of the question mark $(?)$ in the following question?
$65 %$ of $240 + x %$ of $150 = 210$ .

45

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46

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32

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36

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Solution

The correct option is A $36$
$65 %$ of $240 + x %$ of $150 = 210$
$\Rightarrow \frac{65}{100} \times 240 + \frac{x}{100} \times 150 = 210 \Rightarrow \frac{312}{2} + \frac{3 x}{2} = 210 \Rightarrow 312 + 3 x = 210 \times 2 = 420 \Rightarrow 3 x = 420 - 312 = 108 \Rightarrow x = \frac{108}{3} = 36$

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