Question

If
A:B = 2:3
B:C = 4:5
C:A = ?

if u I'll tell me correct answer
I I'll mark u as brainlist
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Answer 1

Solution

$\green{ \: To \: find : } \: c : a$

$\green{Given :} a :b = \: 2 :3 \: and \: b : c \: = 4 : 5$

$\implies \: \dfrac{ \: a \: }{ \: b \: } = \dfrac{ \: 2 \: }{ \: 3 \: } \: and \: \dfrac{ \: b \: }{ \: c \: } = \dfrac{ \: 4 \: }{ \: 5 \: }$

$\implies \: \dfrac{a}{ \cancel{ \: b \: }} \times \dfrac{ \cancel{ \: b \: }}{c} = \dfrac{2}{3} \times \dfrac{4}{5}$

$\implies \: \dfrac{a}{c} = \dfrac{8}{15}$

$\implies \bold{\: a : c \: = 8 : 5}$