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**