# 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

$$\eqalign{ & 4p = 6q = 10r \cr & \Rightarrow 2p = 3q = 5r \cr & \Rightarrow q = \frac{{2p}}{3} \cr & \Rightarrow r = \frac{{2p}}{5} \cr & {\text{P}}:{\text{Q}}:{\text{R}} = p:\frac{{2p}}{3}:\frac{{2p}}{5} \cr & ({\text{Multiply by 15}}) \cr & = 15:10:6 \cr & {\text{R's share}} = 4650 \times \frac{6}{{31}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 150 \times 6 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}900 \cr} $$

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## Comments ( 6 )

Related Questions on Partnership

A. 5 : 7 : 8

B. 20 : 49 : 64

C. 38 : 28 : 21

D. None of these

A. Rs. 40000

B. Rs. 50000

C. Rs. 60000

D. Rs. 70000

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