Populations of two villages X and Y are in the ratio of 5:7 respectively.If the population of village Y increases by 25000 and the populati…

Solution
As the ratio of populations of the two villages are in the ratio 5:7, let the respective populations be 5p and 7p

If the population of Y increases by 25000, the population of Y is 7p+25000 and the new ratio equals 5p:7p+25000

This new ratio is 25:36
Hence, $\frac{5p}{7p+25000}=\frac{25}{36}$

Or, $180p = 175p + 625000$

or $p = 125000$
Therefore, the population of X = 5p = 6,25,000

Solution
As the ratio of populations of the two villages are in the ratio 5:7, let the respective populations be 5p and 7p

If the population of Y increases by 25000, the population of Y is 7p+25000 and the new ratio equals 5p:7p+25000

This new ratio is 25:36
Hence, $\frac{5p}{7p+25000}=\frac{25}{36}$

Or, $180p = 175p + 625000$

or $p = 125000$
Therefore, the population of X = 5p = 6,25,000

625000