Q.3. Wages of 15 unskilled workers for 11 days is INR 33000. Daily wage of a
skilled worker is 1.5 times of the unskilled worker. How many skilled workers must
work for 8 days to earn INR 21600?
Your answer
Answers
Given:
No. of unskilled workers = 15
No. of days they worked = 11
Total amount that they received for their work = INR 33000
Daily wage of a skilled worker = 1.5 times that of unskilled worker
No. of days they worked = 8
Total amount that they received for their work = INR 21600
To find:
How many skilled workers must work for 8 days to earn INR 21600?
Solution:
Let number of skilled workers be x.
1 day amount received by 15 unskilled workers = 33000 / 11 = INR 3000
Daily wage of a unskilled worker = 3000 / 15 = INR 200
Daily wage of a skilled worker = 1.5 × 200 = INR 300
1 day amount received by x skilled workers = 300 × x = 300x
∴ 8 days amount received by x skilled workers = 300x × 8 = 2400x
∵ Total amount received by the skilled workers for 8 days = INR 21600
∴ 2400x = 21600
x = 21600 / 2400
x = 9
Therefore, 9 skilled workers must work for 8 days to earn INR 21600