Question

A sum of money is delivered among $A,B,C$ and $D$ in the ratio $3:4:9:10$. If the share of $C$ is Rs. $2580$ more than the share of $B$, What is the total amount of money of $A$ and $D$ together ?

• A. 6400
• B. 6708
• C. 6700
• D. 6510

Answer 1

Answer: (B)

6708

Given ratio : $3:4:9:10$
Let $A$ share $=3x$
$B$ share $=4x$
$C$ share $=9x$
$D$ share $=10x$
Given, $C$ share is $2580$ more than $B$ share i.e.
$9x-2580=4x$
$5x=2580$
$x=516$
So, $A$ share $=3x=516\times 3=1548$
$D$ share $=10x=516\times 10=5160$
$A+D=1548+5160=$ Rs. $6708$