Partnership Ques 32
Question
$A$, $B$ and $C$ have a certain amount of money with themselves. $C$ has $\frac{3}{4}$ of what $A$ has and $B$ has Rs. 50 less than $C$. If $A, B$ and $C$ together have Rs. 250, then how much does $A$ alone have? (in Rs.)
(1) 75
(2) 160
(3) 80
(4) 120
(5) 140
(IBPS Specialist Officer CWE (Prelim Exam) 31.01.2019)
Show Answer
Answer: (4)
Solution: (4)
Amount with $A=$ Rs. $x$
$\therefore$ Amount with $C=$ Rs. $\frac{3 x}{4}$
$\therefore$ Amount with $B$ $=$ Rs. $\left(\frac{3 x}{4}-50\right)$
$\therefore x+\frac{3 x}{4}-50+\frac{3 x}{4}=250$
$\Rightarrow x+\frac{3 x}{2}=250+50=300$
$\Rightarrow \frac{2 x+3 x}{2}=300$
$\Rightarrow \frac{5 x}{2}=300$
$\Rightarrow x=\frac{300 \times 2}{5}=$ Rs. 120
BETA
