Partnership Ques 8
Question
$A, B$ and $C$ have a certain amount of money with themselves. $C$ has 3 $\frac{3}{4}$ 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.)
75
160
80
120
140
Show Answer
Answer: (4)
Solution: (4)
According to the question,
$C=$ Rs. $\frac{3 A}{4}$
$B=$ Rs. $(C-50)$ $=$ Rs. $\left(\frac{3 A}{4}-50\right)$
$\therefore A+B+C=250$
$\Rightarrow A+\frac{3 A}{4}-50+\frac{3 A}{4}=250$
$\Rightarrow A+\frac{3 A}{4}+\frac{3 A}{4}$ $=250+50=300$
$\Rightarrow \frac{4 A+3 A+3 A}{4}=300$
$\Rightarrow 10 A=10 \times 4=40$
$\Rightarrow A=\frac{1200}{10}=$ Rs. 120
BETA
