If  $$\frac{A }{ B} = \frac{5}{8}$$​ and B: C = $$\frac{7}{8}$$​ then find A: C.

Correct option is A

Given:
a:b = 5:8
b:c = 7:8
Formula Used:
Ratio concepts used
Solution:
If a:b = 5:8
b :c = 7:8
We equate ratio of B
a : b = 5:8
a : b = (5:8)×7
a:b =35:56
b : c = (7:8 ) ×8
b :c = 56:64
a : b : c = 35 : 56 : 64
a:c = 35:64
Alternative Method:
​$$\frac{a}{b}×\frac{b}{c} = \frac{a}{c} \\\ \\\frac{7}{8}×\frac{5}{8 }= \frac{35}{64}$$​​