X and Y are partners in a firm having capital balances Rs. 1,08,000 and Rs. 72,000, respectively. They admit Z into a partnership for $${\frac{1}{3}^{{\text{rd}}}}$$ share, and Z brings proportion ate amount of capital. The capital amount of Z is
A. Rs. 22,500
B. Rs. 90,000
C. Rs. 1,80,000
D. Rs. 54,000
Answer: Option B
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Capital Ratio of share X & Y is 3:2
New Partner z Share 1/3
Now, X= 3/5-1/3=4/15
Y=2/5-1/3=1/15
Z=1/3*5*5=5/15
New Ratio=4:1:15
Now total Capital of X & Y is (108000+72000)=180000
Share Capital of Z is = 180000*5/10
=90000