Multiple choice

Directions : Select the correct alternative from the given choices. From the year 2013 to 2014, the population of a village increased by 600 and then, from the year 2014 to 2015, it decreased by 5%. If the population of the village in 2015 is 150 less than that in 2013, then the population of the village in 2013 is what percent of that in 2014?

  1. 92%

  2. 94%

  3. 96%

  4. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let P be pop in 2013. Pop in 2014 = P + 600. Pop in 2015 = 0.95(P + 600). Given 0.95(P + 600) = P - 150. 0.95P + 570 = P - 150. 0.05P = 720. P = 14400. Pop 2014 = 15000. Ratio = 14400/15000 = 0.96 = 96%.

AI explanation

Let the population in 2013 be P, making the 2014 population P + 600. In 2015, the population becomes 0.95(P + 600), and the problem states this equals P - 150. Solving the equation 0.95P + 570 = P - 150 gives P = 14400, meaning the 2014 population was 15000. The population in 2013 as a percentage of 2014 is (14400 / 15000) x 100, which is 96%.

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