1.

If a ∶ b = 2 ∶ 3, b ∶ c = 4 ∶ 5 and c ∶ d = 6 ∶ 7, then a ∶ d = ?1). 12 ∶ 352). 24 ∶ 353). 16 ∶ 354). 24 ∶ 25

Answer»

a : B = 2 : 3

⇒ a/b = 2/3

⇒ b = 3a/2

b : c = 4 : 5

⇒ b/c = 4/5

$(\RIGHTARROW \frac{{3a}}{2}\;:c = 4\;:5\;)$

⇒ c = 15A/8

c : d = 6 : 7

⇒c/d = 6/7

$(\Rightarrow \frac{{\frac{{15a}}{8}}}{d} = \frac{6}{7})$

$(\Rightarrow \frac{a}{d} = \frac{8}{{15}} \TIMES \frac{6}{7})$

⇒ a/d = 16/35

⇒ a : d = 16 : 35


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