Two years ago, due to corona, 25% of the total population died in Bikaner, and every year the population increases by 6000. Find the total population in the present year, if the ratio between the people who died due to corona and the present year population is 2 ∶ 9 respectively.
Two years ago, due to corona, 25% of the total population died in Bikaner, and every year the population increases by 6000. Find the total population in the present year, if the ratio between the people who died due to corona and the present year population is 2 ∶ 9 respectively. Correct Answer 36000
Given:
Two years ago, due to corona, 25% of the total population died in Bikaner.
Every year the population increases by 6000.
The ratio between the people who died due to corona and the present year population
= 2 ∶ 9
Formula used:
Percentage formula = (Value / Total value) × 100
Calculation:
Let two years ago the total population of Bikaner be x.
Due to corona, 25% of the total population died in Bikaner
So the total number of people who died due to corona = (25 / 100) × x = x / 4
Now the remaining population of Bikaner = x – (x / 4) = 3x / 4
Every year the population increases by 6000.
Then the present age of Bikaner = (3x / 4) + 12000
Now the ratio between the people who died and the present population of Bikaner
⇒ (x / 4) ∶
But given ratio is 2 ∶ 9, so we compare both ratio
⇒ (x / 4) / = 2 / 9
⇒ 9x / 4 = (3x / 2) + 24000
⇒ (9x / 4) – (3x / 2) = 24000
⇒ x = 32000
Present year population = (3x / 4) + 12000
⇒ Population = 24000 + 12000
⇒ Population = 36000
∴ The total population of Bikaner is 36000.