When Ashish finishes a certain work, he gets a total wage of Rs. 70. When Kanika finishes the same work, he gets a total wage of Rs. 165. The daily wages of Ashish and Kanika are Rs. 3.5 and Rs. 5.5, respectively. If both of them do it together, what is the cost of the work?
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is option 4 i.e. Rs. 108
Given that
The daily wages of Ashish = Rs. 3.5 and
The daily wages of Kanika = Rs. 5.5
Total wages of Ashish and Kanika = 3.5 + 5.5 = Rs. 9
Ashish completed the work in 70/3.5 = 20 days
Kanika completed the work in 165/5.5 = 30 days
Total days = LCM (20, 30) = 60
The efficiency of Ashish = 60/20 = 3
and Kanika's efficiency = 60/30 = 2
Ashish and Kanika completed the work in = 60/(3 + 2) = 12 days
Hence, The total wages of Ashish and Kanika = 12 × 9 = Rs. 108