A, B, C enter into a business partnership such that 3 times the capital of A is equal to 4 times the capital of B which is equal to 5 times the capital of C. The ratio of their capitals is

Let the capitals of A, B, C are a, b, c respectively

According to the problem, 3a = 4b = 5c

Let 3a = 4b = 5c = t

$$\Rightarrow$$ a = $$\frac{t}{3}$$, b = $$\frac{t}{4}$$, c = $$\frac{t}{5}$$

$$\therefore\ $$Ratio of their capitals = a : b : c

= $$\frac{t}{3}$$ : $$\frac{t}{4}$$ : $$\frac{t}{5}$$

= $$\frac{1}{3}$$ : $$\frac{1}{4}$$ : $$\frac{1}{5}$$

= $$\frac{60}{3}$$ : $$\frac{60}{4}$$ : $$\frac{60}{5}$$

= 20 : 15 : 12