Question

A sum of $2236$ is divided among$A,BandC$ Such that $A$ receives$25\%$ more than $C$ and $C$ receive $25\%$ less than $B$ . What is $A^{\prime }$ s share in the amount ?

• A. Rs$.460$
• B. Rs. $890$
• C. Rs. $780$
• D. Rs.$1280$

Answer 1

The correct option is C Rs. $780$

Let $B$ share $=x$
$C$ share $=x-25\%$of $x$ =$0.75x$
$A$ share $=25\%$ more than $c=0.75x+25$
Sum of dividend $=2236$
$A+B+C=2236$
$x+0.75x+0.74x=2236$
$2.69x=2236$
$x=831$
$A$ share $=0.94x=0.94x\ast 1330=Rs780$
Alternatively,
Let $B$ share is $=100$
then $C$ share will be $=100-(25$
so, $A^{\prime }$s share $=75+(25$
Total $=100+75+93.75=268.75$
Now, if Total Amount is Rs.$268.75$ then A's share $=93.5$
If total amount is Re. 1 then $A$ 's share is = $93.75/268.75$
If total amount is Rs. $2236$ then $A^{\prime }$ s share is $=93.75/268.75\ast 2236=Rs.780$