Multiple choice

A worker is engaged for $100$ days, on the condition that he will be paid Rs $x$ per day for each day he works and will be charged Rs. $y$ per day for each day he is absent. Frame a formula to find his earning $'E'$ in rupees, if he works for $d$ days only

  1. $dx - (100 - dy)$
  2. $dx - 100y$
  3. $dx - (100 - d)y$
  4. $dx+(100-d)y$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The worker is employed for a total of 100 days. If he works for d days, he earns dx rupees. He is absent for the remaining (100 - d) days, which results in a deduction of (100 - d)y rupees. Therefore, his net earning E is given by dx - (100 - d)y.

AI explanation

The total earning from the days worked is the daily wage multiplied by the days worked, which gives dx. Since he was engaged for 100 days and worked for only d days, his total days absent are (100 - d). His total deduction for absence is the daily fine multiplied by the absent days, which is (100 - d)y. Subtracting the total fine from his total earning yields the final formula E = dx - (100 - d)y.

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