Question

A labourer is engaged for 20 days on the condition that he will receive $120 for each day he works and will be fined $10 for each day he is absent. If he receives $1880 in all, for how many days did he remain absent.

Answer 1

Answer:

4

Step-by-step explanation:

Let the number of days be was absent be 'x'.

Then, the number of days he worked = 20 - x.

Now,

Paid amount - Fined amount = 1880

⇒ 120(20 - x) - 10x = 1880

⇒ 2400 - 120x - 10x = 1880

⇒ 2400 - 130x = 1880

⇒ 520 = 130x

⇒ x = 4

Therefore, the total number of days he remain absent is 4.

Hope this helps!

Answer 2

Let the number of days be worked be x

The number of days he is absent = 20 - x

Form equation and solve for x :

120x -10 (20 - x) = 1880

120x - 200 + 10x = 1880

130x = 2080

x = 16

Find the number of days he remain absent:

Absent = 20 - x = 20 - 16 = 4 days

Answer: He was absent for 4 days