Question

<br />0.5. A and B share profits in the ratio of 2 : 1. C is admitted<br />acquires 3/4 of his share from A and 1/4 of his share from<br />new ratio will be​

Answer 1

Answer:

Let A & B's share be 2x & x

So, Total Profit will be 3x.

Now, C takes 3/4 share of A

i.e. (3/4)×2x = (3/2)x

& 1/4th share from B

i.e. (1/4)×X = (1/4)x

So, Remaining A = 2x - (3/2)x

= (1/2)x=(2/4)x

Remaining B = x - (1/4)x = (3/4)x

& Total C = (3/2)x + (1/4)x = (7/4)x

Or, Total Profits = {(2/4)+(3/4)+(7/4)}X2

= 12/4x= 3x (same as previous)

So, the new ratios will be

$A:B:C=\frac{2}{4}:\frac{3}{4}:\frac{7}{4} = 2:3:7$

(assumed that question is "C aquires 3/4th of A's share and 1/4th of B's share" instead of "C aguires 3/4th of HIS i.e. C's share from A and remaining 1/4th from B".. in which case we would need to 1st check C's investment part, so as to calculate total C's share and then deduct same from A & B)