Multiple choice

A work was completed by few persons in 50 days. But in absence of 10 person the same work was completed in 60 days. How many person were employed initially? एक कार्य कुछ व्यक्तियों द्वारा 50 दिनों में पूरा किया जाता था किन्तु 10 व्यक्ति अनुपस्थित होने के कारण वह 60 दिनों में पूरा हुआ। प्रारम्भ में कितने व्यक्तियों ने कार्य प्रारम्भ किया था ?

  1. 50

  2. 55

  3. 40

  4. 60
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the initial number of workers be n. Total work = n × 50 worker-days. With (n − 10) workers, it takes 60 days, so total work = (n − 10) × 60. Equating: n × 50 = (n − 10) × 60, which gives 50n = 60n − 600, so 10n = 600 and n = 60 workers.

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