?
If A : B = 2 : 3, B : C = 4 : 5 and C : D = 5 : 9 then A : D is equal to:
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \frac{A}{D} = {\frac{A}{B}} \times {\frac{B}{C}} \times {\frac{C}{D}} \cr
& \,\,\,\,\,\,\,\,\, = {\frac{2}{3}} \times {\frac{4}{5}} \times {\frac{5}{9}} \cr
& \,\,\,\,\,\,\,\,\, = \frac{{ {2 \times 4 \times 5} }}{{ {3 \times 5 \times 9} }} \cr
& \,\,\,\,\,\,\,\,\, = \frac{8}{{27}} \cr
& \,\,\,\,\,\,\,\,\, = 8:27 \cr} $$
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Loginiss ko solve krny se A:C mill jye gi
A/C =8/15
now
A8/C15 : C5/D9
Iss ko solve krny se A:D mily gi
A/D = 8/27