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Question 139
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 population of village X remains unchanged the respective ratio of their populations becomes 25:36 What is the population of village X ?
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
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