Q15
Given below are two statements :
Statement I :
Ram and Shyam can finish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it.
Statement II :
If 6 persons working 8 hours a day earn ₹8,400 per week, then 9 person working 6 hours a day will earn ₹9,450 per week.
In the light of the above statements, choose the correct answer from the options given below :
Answer: A
Statement I
Ram's daily work = (Ram + Shyam) − Shyam = \( \frac{1}{6} - \frac{1}{8} = \frac{4-3}{24} = \frac{1}{24} \).
So Ram alone takes 24 days. True.
Statement II
Earnings are proportional to total person-hours.
- 6 × 8 = 48 person-hours a day earn ₹8,400.
- 9 × 6 = 54 person-hours a day earn \( 8400 \times \frac{54}{48} = 9450 \).
True.
Answer: Both Statement I and Statement II are true (option 1)