Question

Three friends divide rs 391 in the ratio 1/2 : 2/3 : 3/4 how much is the last share

Answer 1

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Answer 2

Answer:

The last share is $306 .

Step-by-step explanation:

As given

$Three\ friends\ divide\ Rs 391\ in\ the\ ratio\ \frac{1}{2}:\frac{2}{3}:\frac{3}{4} .$

let us assume that the x be the scalar multiple .

$First\ share = \frac{1x}{2}$

$Second\ share = \frac{2x}{3}$

$Last\ share = \frac{3x}{4}$

Than the equation becomes

$\frac{1x}{2} + \frac{2x}{3} + \frac{3x}{4} = 391$

L.C.M of (2,3,4) = 12

$\frac{1x\times 6 +2x\times 4+3x\times 3}{12}= 391$

$\frac{6x +8x+9x}{24}= 391$

$\frac{23x}{24}= 391$

$\frac{24\times 391}{23}= x$

$\frac{9384}{23}= x$

x = 408

Thus

$Last\ share = \frac{3x}{4}$

$Last\ share = \frac{3\times 408}{4}$        

$Last\ share = \frac{1224}{4}$

Last share = $ 306

Therefore the last share is $306 .