Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
If A can do $\frac{1}{4}$ of a work in 3 days and B can do $\frac{1}{6}$ of the same work in 4 days, how much will A get if both work together and are paid ₹ 180 in all?
(a)₹ 36
(b)₹ 60
(c)₹ 108
(d)₹ 120
Answer
Answer (as printed): D
Explanation
Whole work is done by A in $(3 \times 4)=12$ days. Whole work is done by B in $(4 \times 6)=24$ days. A's wages : B's wages = A's 1 day's work : B's 1 day's work $=\frac{1}{12}:\frac{1}{24}=2:1$. $\therefore$ A's share $=₹\left(\frac{2}{3} \times 180\right)=₹120$.
Explanation as extracted from the printed page; notation may be imperfect.