Question

the population of a town increase by 5% per annum.if the population in 1995 is 1200,then after two years if will be
1320
1325
1330
1327
1323​

Answer 1

The population after 2 years is 1323.

• A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.
• We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
• The original number is subtracted from the new number, divided by the original number, then multiplied by 100 to get the % increase.

Here, according to the given information, we are given that,

The population of a town increase by 5% per annum.

Now, when the population is 100, the increased population is 105.

Then, when the population is 1, the increased population is $\frac{105}{100}$.

Then, when the population is 1200, the increased population is $\frac{105}{100}.1200$ = 1260.

Now, when the population is 100, the increased population is 105.

Then, when the population is 1, the increased population is $\frac{105}{100}$.

Then, when the population is 1260, the increased population is $\frac{105}{100}.1260$ = 1323.

Hence, the population after 2 years is 1323.

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