The daily compensation of a laborer increase by 10% but the number of days worked by him per month drop by 10%. If he was originally getting Rs. 20,000 per month, what will he get per month now?
Explanation:
Let the daily compensation of the laborer be c.
Let number of days worked be d.
∴ Total earnings (e) = c × d = 20,000.
According to the conditions given, new earnings (e’) = 1.1c × 0.9d = 0.99 × cd = 0.99 × 20000 = Rs. 19,800.
Alternately, Total earnings increases by 10% (due to compensation) and then reduces by 10% (due to number of days).
When a number is increased and then decreased by p% successively, overall % change = -p2/100%
∴ net change in salary = -1%
New salary = 20000(1 - 1%) = Rs. 19,800.
Hence, option (d).
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