Data Interpretation Ques 403

Directions : Read the following information carefully and answer the questions based on it.

The population of town A, town $B$ and town $C$ was in the ratio $16: 15$ : 14 in the year 2013. In the year 2014, the population of town A, town $B$ and town $C$ increased by $10 \%, 12 \%$ and $15 \%$ respectively. The sum of males and females in town A in 2014 is 88000. Male to female ratio in the year 2013 for town B was 2: 1 and male to female ratio for town $C$ in the same year was 1 : 1. In 2013, $60 \%$ were males from town $A$. In the year 2015, population of town A, town B and town C increased by 5\%, $10 \%$ and $20 \%$ respectively, than the previous year.

In 2013 , if males increased by $20 \%$ and females increased by $15 \%$ in town A and town B, then find the new total population of town A and town B in the same year?

(1) 183,150

(2) 198,655

(3) 200,500

(4) 235600

(5) 256000

Show Answer

Correct Answer: 403.(1)

SOLUTION: (1) New population in the year 2013:

Town $A \Rightarrow 80000 \times \frac{60}{100} \times 1$

$\frac{120}{100}+80000 \times \frac{40}{100} \times \frac{115}{100}$

$=57600+36800=94400$

Town B $\Rightarrow 75000 \times \frac{2}{3} \times \frac{120}{100}$

$+75000 \times \frac{1}{3} \times \frac{115}{100}$

$=60000+28750=88750$

Required answer

$=94400+88750=183150$