Question

A sum of rs 7500 us divided among a b and c such way that is there and being there are in the ratio 5 is to 2 and b and c are in the ratio 7 is to 13 to each other respectively how much money will be b received

Answer 1

Answer:

Money received by 'a' = 3500 rupees

Money received by 'b' = 1400 rupees

Money received by 'c' = 2600 rupees

Step-by-step explanation:

A sum of Rupees 7500 is divided among a, b and c.

Given that,

               a : b = 5 : 2

               b : c = 7 : 13

We know a : b = 5 : 2,

               $\frac{a}{b}=\frac{5}{2}$

By rearranging, we get

               $a=\frac{5b}{2}$

And b : c = 7 : 13,

On rearranging,

                  $c=\frac{13b}{7}$

The total sum is 7500 rupees

Therefore,

           $\frac{5b}{2}+b+\frac{13b}{7}=\frac{35b+14b+26b}{14}=7500$

            $\begin{aligned}75b=7500\times 14\\b=\frac{7500\times 14}{75}=1400\end{aligned}$

Money received by 'a' = 5b/2 = (5 $\times$ 1400)/ 2 = 3500 rupees

Money received by 'c' = 13b/7 = (13 $\times$ 1400)/ 7 = 2600 rupees