10 men can do a work in 25 days. After 12 days of work, 3 more men were engaged to finish the work. The number of days required to complete the remaining work is: 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. 10
  2. 8
  3. 6
  4. 12

Answer (Detailed Solution Below)

Option 1 : 10
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Detailed Solution

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Given:

10 men can do work = 25 days

Formula used:

Total work = efficiency × time

Calculation:

Let the efficiency of a man = M

According to the question:

⇒ 10 M × 25 = 10 M × 12 + 13 M × D

⇒ 250 M - 120 M = 13 M × D

⇒ 13 M × D = 130 M

⇒ D = 130/13 = 10 days

∴ The correct answer is 10 days.

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