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Question

If the average wages of a worker during a fortnight comprising 15 consecutive working days was 90 $ per day.
During the first 7 days, his average wages was 87 $ units per day and the average wages during the last 7 days was 92 $ per day. Then his wage on the 8th day is

A
$97~\$
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B
$90~\$
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C
$83~\$
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D
$92~\$
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Solution

The correct option is A $97~\$
Let x1,x2,x3x15 represent the 15 working days
Average of first 7 days is 87 $
x1+x2++x77=87
x1+x2++x7=7×87 (1)

Average of last 7 days is 92 $
x9+x10++x157=92
x9+x10++x15=7×92 (2)

and average of 15 days is 90 $
(x1+x2++x7)+x8+(x9++x15)15=90
From equation (1) and (2)
7×87+x8+7×9215=90
x8=90×157×179=97 $

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