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A labourer is engaged for 20 days on the condition that he will receive Rs. $120 $ for each day he works and will be fined Rs.$ 10 $ for each day he is absent. If he receives Rs.$ 1880 $ in all, for how many days did he remain absent?
Given: He is engaged for 20 days. He was paid 120 per day and fined 10 for each day he is absent. He receives Rs. 1880.
To find: No. of days he is absent.
Let x be number of days he worked
Total number of days is 20
So he is absent for 20-x days
Total he receives Rs. 1880.
$120\times x - 10 (20-x) = 1880$
$120x -200 +10x = 1880$
$130x=1880 + 200$
$130x=2080$
$\rightarrow$
$x=2080\div130$
$x=16$
$\rightarrow$
He is absent for
$20 - x = 20 -16 $
= 4 days
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