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.
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.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
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!
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