Question

three partners A, B, C in a business invested money such that 6(A's capital)=8 (B's capital)=10(C,'s capital) then the ratio of their capital is ?​

Answer 1

Question :-- three partners A, B, C in a business invested money such that 6(A's capital)=8 (B's capital)=10(C,'s capital) then the ratio of their capital is ?

Solution :---

Let 6A = 8 B = 10C = k. ( where k is a constant term).

So,

→ A = k/6

→ B = k/8

→ C = k/10 .

Now, ratio of their capital is ====

→ A : B : C = k/6 : k/8 : k/10

→ k/6 : k/8 : k/10

Taking LCM of denominator now , we get,

→ ( 20*k : 15*k : 12*k ) /120

→ 20k : 15k : 12k

→ 20 : 15 : 12..

Hence, ratio of capital of A:B:C is 20:15:12.

Answer 2

Answer:

${\boxed{\bold{Ratio = 20 : 15 : 12 }}}$

Step-by-step explanation:

Given:-

• 6(A's capital)= 8(B's capital) = 10(C's Capital)
• Ratio of capital = ?

Let the capital = K(Constant)

$\tt According\:to\:question:-$

$\rm 6A = 8B = 10C = K \\\rightarrow\rm 6A = K \\\rightarrow\rm A = \frac{K}{6} \\\\\rightarrow\rm 8B = K \\\rightarrow\rm B =\frac{K}{8} \\\\\rightarrow\rm 10C = K \\\rightarrow\rm C =\frac{K}{10}$

$\therefore\rm Ratio \: of\: Capital = \frac{K}{6} : \frac{K}{8} : \frac{K}{10} \\\rightarrow\rm Ratio = \frac{20K}{120} : \frac{15K}{120} : \frac{12K}{120} \\\rightarrow{\boxed{\rm {Ratio = 20 : 15 : 12 }}}$

$\therefore\bold{\underline{Ratio\:of\:capitals=20 : 15 : 12}}$