Question

If you divide ra 1160 between a,b andc.in such a way that a:b=4:3 and b:c=2:5, then the share of b is

Answer 1

Answer:

Share of b = Rs 240

Step-by-step explanation:

We are the total money of Rs 1160.

Also, Ratio of a : b = 4 : 3   and   b : c = 2 : 5 , i.e;

    $\frac{a}{b} = \frac{4}{3}$                     and                  $\frac{b}{c} = \frac{2}{5}$

As we can see that value of b in both ratios are different, so we will first make value of b same in both ratios;

            $\frac{a}{b} = \frac{4*2}{3*2}$               and               $\frac{b}{c} = \frac{2*3}{5*3}$

So, Now    $\frac{a}{b} = \frac{8}{6}$           and         $\frac{b}{c} = \frac{6}{15}$

Hence, ratio of a : b : c = 8 : 6 : 15

Therefore, share of b = $\frac{6}{8+6+15}*1160$

                                    = $\frac{6}{29}*1160$ = 6 * 40 = Rs 240

Hence, share of b is Rs 240 .