Question

$Rs.395$ are divided among $A,B$ and$C$ in such a manner that $B$ gets $25\%$ more than $A$ and $20\%$ more than $C$. Then $A^{\prime }s$ share is:

• A. $Rs.198$
• B. $Rs.120$
• C. $Rs.180$
• D. $Rs.195$

Answer 1

Answer: (B)

$Rs.120$

$A+B+C=395$
$B=A+25$ (or) $C+20$
$B=1.25A$ (or) $1.2C$
subs one condition at a time
$2.25A+C=395$ ................. eq 1
$A+2.2C=395$...................... eq 2
multiply eq 2 by $2.25$ and subtracting with eq 1
$2.25A+C=395$
$2.25A+4.95C=888.75$
$-3.95C=-493.75$
$C=125$
$B=1.2\left(C\right)=1.2\left(125\right)=150$
$A=395-150-125=120$
$A=120$
$B=150$
$C=125$