If the mean of numbers $27 + x, 31 + x, 89 + x, 107 + x, 156 + x$ is $82$ , then the mean of $130 + x, 126 + x, 68 + x, 50 + x, 1 + x$ is

79

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157

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82

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75

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Solution

The correct option is C $75$
Mean of numbers $27 + x, 31 + x, 89 + x, 107 + x, 156 + x$ is $82$

$∴$ $\frac{27 + x + 31 + x + 89 + x + 107 + x + 156 + x}{5} = 82$
$410 + 5 x = 410$
$x = 0$
$∴$ Mean of $130 + x, 126 + x, 68 + x, 50 + x, 1 + x$ is

$= \frac{130 + x + 126 + x + 68 + x + 50 + x + 1 + x}{5}$
$= \frac{375 + 5 x}{5}$
$= \frac{375 + 0}{5}$
$=$ $75$

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