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?

Academic Mathematics NCERT Class 7

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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Updated on: 10-Oct-2022

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