If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ), then out of the total profit of Rs. 4650 , R will receive
A. Rs. 600
B. Rs. 700
C. Rs. 800
D. Rs. 900
Answer: Option D
Solution(By Examveda Team)
Let P's capital = p, Q's capital = q and R's capital = r. Then $$\eqalign{ & 4p = 6q = 10r \cr & \Rightarrow 2p = 3q = 5r \cr & \Rightarrow q = \frac{{2p}}{3} \cr & \Rightarrow r = \frac{{2p}}{5} \cr & {\text{P}}:{\text{Q}}:{\text{R}} = p:\frac{{2p}}{3}:\frac{{2p}}{5} \cr & ({\text{Multiply by 15}}) \cr & = 15:10:6 \cr & {\text{R's share}} = 4650 \times \frac{6}{{31}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 150 \times 6 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}900 \cr} $$Join The Discussion
Comments ( 8 )
Related Questions on Partnership
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D. None of these
A. Rs. 40000
B. Rs. 50000
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P=Q=R
4=6=10
1/4=1/6=1/10
Ratio: 15:10:6
R = 4650*6/31
= 900
P=Q=R
4=6=10
> 1/4=1/6=1/10
LCM = 60
Ratio: 15:10:6
R = 4650*6/31 = 900
why p is neutral?
need more clarification
4,6,10 lcm is 60
so p:q:r =15:10:6
total parts=31
total profit is 4650
so 4650*(6/31)=900
LCM of 3 and 5 will be 15.
How you got 15 for multiplying
how you have taken p=15