Quantitative Aptitude Ques 2109

Question: Directions: Refer to the pie-charts and answer the given questions. [RRB (Officer) Grade B 2015]

Distribution of total number of members (both male and female) in 5 health clubs in 2008 Total number = 4200 Distribution of total number of male members in 5 health clubs in 2008 Total number = 2400 Number of male members in health clubs A and D increased by equal number from 2008 to 2009. If the respective ratio between number of male members in health club A and that in D is 2009 is 17: 11, then what is the number of male members in health club D in 2009?

Options:

A) 308

B) 352

C) 874

D) 396

E) 330

Show Answer

Answer:

Correct Answer: B

Solution:

  • Number of male members in club A in 2008 $ =2400\times \frac{20}{100}=480 $ Number of male members in club D in 2008 $ =2400\times \frac{12}{100}=288 $ Let the increased number $ =x $

$ \therefore $ $ \frac{480+x}{288+x}=\frac{17}{11} $
$ \Rightarrow $ $ 5280+11x-4896+17x $

$ \Rightarrow $ $ 6x=5280-4896=384 $
$ \Rightarrow $ $ x=64 $

$ \therefore $ Number of male members in club D in 2009 $ =288+64=352 $