Multiple choice

A person agrees to work for 30 days on a condition that for every day's work he should receive Rs. 500, and that for every day's absence from work he should forfeit Rs. 100. At the end of the time, he received Rs. 11,400. How many days did he work for?

  1. 20

  2. 21

  3. 24

  4. 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the days worked. Then (30-x) is the days absent. 500x - 100(30-x) = 11400. 500x - 3000 + 100x = 11400. 600x = 14400. x = 24.

AI explanation

Using the balance method, let the number of days worked be W and the number of days absent be A. We have the system of equations W + A = 30 and 500W - 100A = 11400. Multiplying the first equation by 100 and adding it to the second gives 600W = 14400, which results in W = 24 days worked.

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