Multiple choice

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?

  1. $27$
  2. $40$
  3. $35$
  4. $20$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the number of days worked. Then (60-x) is the number of idle days. 20x - 3(60-x) = 280. 20x - 180 + 3x = 280. 23x = 460. x = 20. Idle days = 60 - 20 = 40.

AI explanation

Let the worker be idle for x days, meaning he worked for (60 - x) days. His total payment is calculated as 20(60 - x) - 3x = 280. Solving the equation 1200 - 23x = 280 gives x = 40.

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