A man and a boy complete a piece of work in 10 days and are paid Rs 10,000. The man is 50% more efficient than the boy. What is the difference between the daily wages of the man and the boy?

  1. Rs 100 
  2. Rs 500 
  3. Rs 400 
  4. Rs 200 

Answer (Detailed Solution Below)

Option 4 : Rs 200 

Detailed Solution

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Given:

Total days = 10 days

Total payment = Rs. 10,000

Man is 50% more efficient than boy.

Formula used:

Efficiency ratio = Work ratio = Wage ratio

Calculations:

Efficiency ratio (Man : Boy) = 150 : 100 = 3 : 2

Work ratio (Man : Boy) = 3 : 2

Wage ratio (Man : Boy) = 3 : 2

Total ratio = 3 + 2 = 5

Total daily wage = 10000 / 10 = 1000

Man's daily wage ratio = 3/5

Boy's daily wage ratio = 2/5

Man's daily wage = (3/5) × 1000 = Rs. 600

Boy's daily wage = (2/5) × 1000 = Rs. 400

Difference = 600 - 400 = Rs. 200

∴ The difference between the daily wages of the man and the boy is Rs. 200.

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