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Question

If $? %$ of $400 + 31 %$ of $600 = 50 %$ of $820$ , find the missing number.
$36$
$64$
$52$
$56$

A

36

B

52

C

56

D

64

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Solution

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Let $? = x$
Given:
$x % of 400 + 31 % of 600 = 50 % of 820$
$\Rightarrow \frac{x}{100} \times 400 + \frac{31}{100} \times 600 = \frac{50}{100} \times 820$
$\Rightarrow 4 x + 186 = 410$
$\Rightarrow x = 56$

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