Question

21. if 36000 is split, among ab,c a:b::6:4, b:c::8:9 what is the c proportion

Answer 1

a=14896.55

b=9931.03

c=11172.41

Answer 2

Answer: The answer is 11172.41.

Step-by-step explanation:  Given number to split is 36000 and we need to split it into a, b and c, where

a : b = 6 : 4   and   b : c = 8 : 9.

Thus,

$\dfrac{a}{b}=\dfrac{6}{4}=\dfrac{12}{8}~~\textup{and}~~~\dfrac{b}{c}=\dfrac{8}{9}.$

Thus, we can write

$a : b : c = 12 : 8 : 9.$

Let, the shares of a, b and c be 12x, 8x and 9x respectively.

So,

$12x+8x+9x=36000\\\\\Rightarrow 29x=36000\\\\\Rightarrow x=\dfrac{36000}{29}.$

Thus, the share of C is

$9\times \dfrac{36000}{29}=11172.41.$