Quantitative Techniques Question 14

Question; Direction; Study the following information carefully to answer the questions given below it.

There are 6 villages around city ‘Y’ namely P, Q R, S, T and U. The population of village P is 50% of the population of city ‘Y’. The population of village Q is 48% of the total population of city ‘Y’. The population of village R is three-fifth of the total population of city ‘Y’. The population of village S is 60% of the total population of village R. The population of village T is 80% of the total population of village Q. The total population of village U is 60,000, which is 75% of the total population of city ‘Y’. The total number of children below 15 years of age in villages Q and T together is 8000 out of whom two fifth are in village Q. What percent of the total population of village T is below 15 years of age?

Options:

A) 13 $\frac{6}{7} $

B) 12 $\frac{5}{7} $

C) 15 $\frac{5}{8} $

D) 14 $\frac{6}{7} $

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Answer:

Correct Answer; C

Solution:

  • (c) Number of children below 15 years of age in village Q 2 = $ 8000 \times\frac{2}{5} $ = 3200 Number of children in village T = 8000 - 3200 = 4800 $\therefore $ Required per cent = $\frac{4800 \times 100}{30720} $ = $\frac{125}{8} $ = $ 15 \frac{5}{8} $ %