Question 79

If Rs 7,800 is to be divided between A, B and C in the ratio $$\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$$, then how much share will B get (in Rs)?

Solution

LCM of the denominators of $$\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$$

i.e. LCM of 2,3,4= 12

Therefore, new ratio=$$\frac{1}{2}\times12 : \frac{1}{3}\times12 : \frac{1}{4}\times12$$ = 6:4:3

So, B's share= $$4\div(6+4+3)\times7800$$= 2400.

Therefore, Option C is correct.

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