Quantitative Aptitude Ques 532

Question: The ratio of number of males and number of females in village X is 11: 7 respectively. If in village Y, the number of males is 20% more than the number of males in village X and the number of females is 12% less than those in village X, then what will be the respective ratio of males to females in village Y [SBI Associate (Clerk) 2014]

Options:

A) 15: 11

B) 17: 5

C) 17: 11

D) 23: 9

E) 15: 7

Show Answer

Answer:

Correct Answer: E

Solution:

  • [e] Let the number of males and females in village X be $ 11x $ and $ 7x, $ respectively. Then in village Y, number of males $ =120% $ of $ 11x=\frac{6}{5}\times 11x=\frac{66}{5}x $ Number of females = 88% of $ 7x=\frac{22}{25}\times 7x=\frac{154}{25}x $
    $ \therefore $ Required ratio $ =\frac{66}{5}x:\frac{154}{25}x=15:7 $