Quantitative Techniques Question 12

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’. In village S, 42% of the total population are females; in village R, 40% of the total population are females, and in village U, 48% of the total population are females. What is the total female population of villages R, S and U together?

Options:

A) 60108

B) 61,760

C) 61,280

D) 60,096

Show Answer

Answer:

Correct Answer; D

Solution:

  • (d) Female population; Village R $\Rightarrow $ $\frac{48000 \times 40}{100} $ = 19200 Village S $\Rightarrow $ $\frac{28800 \times 42}{100} $ = 12096 $\Rightarrow $ $\frac{60000 \times 48}{100} $ = 28800 $\therefore $ Their total population = (19200 + 12096 + 28800) = 60096