Question : A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If everyone gets paid in proportion to the work done by them, the amount C will get is:
Option 1: Rs. 50
Option 2: Rs. 100
Option 3: Rs. 150
Option 4: Rs. 200
Correct Answer: Rs. 50
Solution :
Given:
A and B undertake a piece of work for Rs. 250.
A's 1 day's work = $\frac{1}{5}$
B's 1 day's work = $\frac{1}{15}$
(A + B + C)'s 1 day's work = $\frac{1}{3}$
So, C's 1 day's work = $\frac{1}{3}-(\frac{1}{5}+\frac{1}{15})=\frac{1}{3}-\frac{4}{15}=\frac{1}{15}$
The ratio of efficiencies by A, B, C is $\frac{1}{5}:\frac{1}{15}:\frac{1}{15}=3:1:1$
So, C's amount $=\frac{1}{3+1+1}×250=50$
Hence, the correct answer is Rs. 50.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
