The fraction that bears the same ratio to 4/9 that 3/11 does to 5/33 is:
- AOption (a)
4 ∶ 5
- BOption (b)
5 ∶ 6
- COption (c)
6 ∶ 5
- DOption (d)
7 ∶ 5
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Correct answer
4 ∶ 5
Why this answer is correct
Formula Used:
If a fraction bears the same ratio as another
fraction, they are said to be in proportion.
a : b :: c : d
⇒ \(\frac{a}{b}=\frac{c}{d}\)
Calculation:
Let the required fraction is \(\frac{x}{y}\).
Using the above formula-
\(\frac{x}{y}:\frac{4}{9} ::\frac{3}{11}:\frac{5}{33}\)
⇒ \(\frac{\frac{x}{y}}{\frac{4}{9}}=\frac{\frac{3}{11}}{\frac{5}{33}}\)
⇒ \(\frac{x}{y} = \frac{4}{9}\times \frac{3}{11}\times \frac{33}{5}\)
⇒ \(\frac{x}{y} = \frac{4}{5}\)
∴ The required fraction is 4 : 5