Question

Divide Rs. $536$ between A, B, C in the ratio $\frac{1}{5}:\frac{2}{3}:\frac{1}{4}$, then C gets

Answer 1

Given ratio$=\frac{1}{5}:\frac{2}{3}:\frac{1}{4}$

Simplifying the above ratio by multiplying with the L.C.M. of their denominators, we get

L.C.M. of 5, 3, 4 is 60.

So multiplying the ratio with L.C.M, we get

$=\frac{1}{5}\times 60:\frac{2}{3}\times 60:\frac{1}{4}\times 60=12:40:15$

So let us assume $A:B:C=12:40:15$

Amount to be divided = 536

$\therefore$ C gets $=\frac{15}{12+40+15}\times 536=\frac{15}{67}\times 536=15\times 8=120$