The population of a town increases by 5% annually. If it is 15435 now, its population 2 years ago was:a)13700b)14000c)14800d)15000Correct answer is option 'B'. Can you explain this answer?

Question

Answer

P (1 + 5/100) ^2 = 15435
p (441/400) = 15435
p = 15435× 400/441 =14000

Answer

Answer

Do this by Multiplying Factor

Let the population 2 years ago be P

Each year 5% increase is witnessed so Multiplying factor would be = (100+5)/100 = 1.05

So according to question

P x 1.05 x 1.05 = 15435 ( 2 years = 2 multiplying factors)

P = 15435 / 1.05 x 1.05 =1400

Answer

Solution:

Given, population of the town increases by 5% annually.

Let the population of the town 2 years ago be 'x'.

After 2 years, the population of the town will be:

x(1+5/100)(1+5/100) = 15435

x(21/20)(21/20) = 15435

x = 15435 * (20/21) * (20/21)

x = 14000

Therefore, the population of the town 2 years ago was 14000.

Answer: Option B.

Answer

Given Population 15435.
y population 2 years ago
5% = 1/20.
So population after 5% increase= 21/20
so 20×20/41×41 = 15435/y
y = 15435×400/441 = 14000 Ans

Answer

Let y be the population of the town initially
y x 105/100 x 105/100 = 15435
y = (15435 x 100 x 100) / (105 x 105)
On solving we get,
y = 14000

Similar Quant Doubts

In a certain year, the population of a certain town was 12000. If the next year the population of males increases by 3% and that of the females by 7% and total population increases to 12800, then what was the ratio of population of males and females in that given year ?

The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.

The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.

The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?

The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company