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If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.

Correct answer: C. 16

  • A. 15
  • B. 14
  • C. 16
  • D. 13

Explanation

Forty women working for 30 days provide 40 x 30 = 1,200 woman-days, so a woman's wage is Rs.21,600 ÷ 1,200 woman-days = Rs.18 per day. A man's wage is double, Rs.36 per day, hence one man earns 25 days x Rs.36 per day = Rs.900 and the required number is Rs.14,400 ÷ Rs.900 per man = 16 men. Students may choose 15 men by rounding the daily wage or forgetting that the man's wage is double the woman's.

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About Time and Work

Problems measure work through rates, treating each person's or machine's contribution as work completed per unit time. Questions cover combined work, efficiency, wages, alternate working schedules, pipes and cisterns, and men-days relationships, with care needed to distinguish time taken by one worker from the time required when workers act together.

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