Rohan was an employee of a company which paid hím 520 per day but deducted 120 for the days he remained absent. For the month of January, he received 14,200 as salary. For how many days did he work?
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Answers
Answer:
Rohan worked for 15 days
Step-by-step explanation:
salary for complete attendance: 520×31=16120
salary he got: 14200
16120-14200=1920
1920 was deducted from his monthly salary.
rs. 120 deducted each day so,
days he was absent: 1920/120=16
he remained absent for 16 days.
no. of days he was present: 31-16=15
he worked for 15 days.
CROSS CHECK:
15×520=7800
he got rs 400 on days he was absent so,
16×400=6400
7800+6400=14200, i.e., the salary rohan got.
Let x be the number of days where employee is working and y be the number of days where employee is sitting idle.
Total number of days = 60
∴ x+y=60...........(1)
He gets 20 rs for each working day and 3 Rs is deducted and total amount he get is 280 Rs
∴ 20x−3y=280......(2)
Multiplyin equation 1 by 3
Hence we get 3x+3y=180...(3)
Adding equation 1 and 3 we get
23x=460
x=20
Putting x=20 in equation 1
∴ y=40