Correct Answer - Option 1 : 150
Given:
First person can do a piece of work in 6 days
Second person can do a piece of work in 8 days
With the help of boy they together complete the work in 3 days
Calculation:
First person 1 day's work = 1/6
Second person 1 day's work = 1/8
Let boy's 1 day's work be 1/x
According to the question,
⇒ (1/6) + (1/8) + (1/x) = (1/3)
⇒ (1/x) = (1/3) - {(1/6) + (1/8)}
⇒ (1/x) = 1/24
∴ Ratio in shares of first person, second person and boys = (1/6) : (1/8) : (1/24)
⇒ Ratio in shares of first person, second person and boys = (1/6) × 24 : (1/28) × 24 : (1/24) × 24 = 4 : 3 : 1
The difference between shares of the two person = {(4 - 3)/(4 + 3 + 1)} × 1200 = 150
∴ The difference between shares of the two person is Rs. 150