1.

In the year 1912, the population of Lakshadweep Island was 12,000. After 10 years the population of males increased by 6% and the population of females increased by 10% and the overall population jumped to 12,982. Find the no of males and females in the year 1912?1. 6550, 54502. 6650, 53503. 5450, 65504. 5620, 6380

Answer» Correct Answer - Option 3 : 5450, 6550

Given:

Population in 1912 = 12,000

Population in 1922 = 12,982

% increase in male population = 6%

% increase in female population = 10%

Concept:

The increased in male and female population is the difference of population in 1912 and 1922. 

Calculation:

Let, the male population in 1912 = x

the female population in 1912 = y

∵ In 1912;

x + y = 12,000      ------(1)

Increase in population = 12,982 - 12,000

= 982

∴ (6/100) × (x) + (10/100) × y = 982

⇒ 6x + 10y = 98200      ------(2)

Multiply (1) with 6 and subtract from (2);

⇒ 4y = 26,200

⇒ y = 6550

Putting the value of 'y' in (1);

⇒ x + 6556 = 12,000

⇒ x = 12,000 - 6550

⇒ x = 5450

∴ Male population = 5450

Female population = 6550


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