Question

If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____
A) Rs.700
B) Rs.800
C) Rs.900
D) Rs.1000

Answer 1

Option (C) Rs. 900,   C will receive Rs. 900.

Step-by-step explanation:

• Let, 4A = 6B = 10C = $x$
• then A's capital (A) = $\dfrac{x}{4}$
•        B's capital (B) = $\dfrac{x}{6}$
•        C's capital (C) = $\dfrac{x}{10}$

Now, the profit will be divided in the capital ratio.

• ∴  $\dfrac{x}{4}$ +  $\dfrac{x}{6}$ + $\dfrac{x}{10}$  = 4650
•        $\dfrac{31x}{60}$ = 4650
•       ∴ $x$ = 9000

so C's profit =  $\dfrac{x}{10}$  = $\dfrac{9000}{10}$ = 900 Rs.

Answer 2

Answer:

900

Step-by-step explanation:

4A : 6B : 10C =x

A = x/4   B = x/6   C = x/10

by taking LCM for 4 , 6 & 10 = 60

15x/60 : 10x/60 : 6x/60

A  : B  : C

15 : 10 : 6 = 31

B's share = 4650*10/31 (4650 is profit given in question)

                = 900