Question

Total salary of three persons $A,B$ and $C$ is $Rs.1,44,000$. They sped $80$%, $85$% and $75$% respectively. If their savings are in the ratio $8:9:20$, find $C^{\prime }s$ salary.

• A. $48000$
• B. $64000$
• C. $40000$
• D. $32000$

Answer 1

The correct option is B $64000$

Let salary of $A,B$ and $C$ be $x,y$ and $z$ respectively after spending $80$%, $85$% and $75$%.
$A$ has $=\frac{20x}{100},B$ has $=\frac{15y}{100}$ and $C$ has $=\frac{25z}{100}$
Let their saving be $8a,9a$ and $20a$.
$\frac{20x}{100}=8a,x=\frac{8a}{20}\times 100=40a$
$\frac{15y}{100}=9a,y=\frac{9a}{15}\times 100=60a$
$\frac{25z}{100}=20a,z=\frac{20a}{25}\times 100=80a$
Now, $x+y+z=144000$
i.e. $40a+60a+80a=144000$
$180a=144000$
$a=800$
$C^{\prime }s$ salary $z=80a=800\times 80=64000$.