Question

Question 2. A fraction which bears the same ratio to 1/27 as 3/11 bear to 5/9 is equal to ……….. . 
A. 1/55
 B. 55
 C. 3/11
 D. 1/11

Answer 1

Ans: option A = 1/55

Steps: 
x : 1/27 :: 3/11 : 5/9
product of mean = product of extreme
X x 5/9  =  1/27 x 3/11
5x/9  =  1/99
x = 1/99 x 9/5
so, x= 1/55

Answer 2

Answer:  The correct option is

(A) $\dfrac{1}{55}.$

Step-by-step explanation:  Given that a fraction bears the same ratio to 1 : 27 as 3 : 11 bear to 5 : 9.

We are to find that ratio.

Let the required ratio be x : y.

Then, according to the given information, we have

$x:y\div1:27=3:77\div5:9\\\\\\\Rightarrow \dfrac{\frac{x}{y}}{\frac{1}{27}}=\dfrac{\frac{3}{77}}{\frac{5}{9}}\\\\\\\Rightarrow \dfrac{x}{y}\times\dfrac{5}{9}=\dfrac{3}{11}\times\dfrac{1}{27}\\\\\\\Rightarrow \dfrac{5x}{9y}=\dfrac{1}{99}\\\\\\\Rightarrow \dfrac{x}{y}=\dfrac{1}{99}\times\dfrac{9}{5}\\\\\\\Rightarrow \dfrac{x}{y}=\dfrac{1}{55}.$

Thus, the required ratio is $\dfrac{1}{55}.$

Option (A) is CORRECT.