Question

An employer pays Rs. $20$ for each day a worker works, and deducts Rs. $3$ for each day he is idle. At the end of $60$ days, a worker gets Rs. $280$. For how many days did the worker remain idle?

• A. $27$
• B. $40$
• C. $35$
• D. $20$

Answer 1

The correct option is B $40$

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 = $60$

$\therefore$ $x+y=60$...........(1)

He gets $20$ rs for each working day and $3$ Rs is deducted and total amount he get is $280$ Rs

$\therefore$ $20x-3y=280$......(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

$\therefore$ $y=40$