ABC26GN1011 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
The sum of the weights of $A$ and $B$ is 80 kg. Half of the weight of $A$ is equal to $\frac{5}{6}$ times the weight of $B$. Find the weight of $B$.
(a)20 kg
(b)30 kg
(c)40 kg
(d)60 kg
Answer
Explanation
$\frac{1}{2} A=\frac{5}{6} B \Rightarrow A=\left(2 \times \frac{5}{6}\right) B=\frac{5}{3} B$. $$\begin{aligned} \therefore \quad A+B=80 & \Rightarrow \frac{5}{3} B+B=80 \Rightarrow \frac{8}{3} B=80 \\ & \Rightarrow B=\left(\frac{80 \times 3}{8}\right)=30 \mathrm{kg} . \end{aligned}$$
Open in whiteboard · Browse this chapter in the app