Multiple choice

Passage

Directions: Study the following information carefully and answer the question that follows. In a town, there are five villages, namely, Shajapur, Amla, Nimar, Gohad and Shivpuri. The population of Shajapur is 3550, out of which 36% people are living below poverty line (BPL). The total population of Shajapur is 11.25% less than that of the village Amla. 29% of the population lives below poverty line in Amla. In Nimar, the number of people living below poverty line is 40 more than that in Amla which is 40% of the total population of this village. The average population of Gohad and Shivpuri is same as the average population of Amla and Nimar, while there is a difference of 1800 in their population (village Shivpuri being more populated). 47% of the total population of Gohad is living below poverty line, while 46% of the total population of all villages is living below poverty line.

If after one year, the population of Amla increases by 20% of its present value while BPL population decreases by 25% of its present value, then the percentage of population of Amla below poverty line will be

  1. 21.25

  2. 18.12

  3. 39.40

  4. 15.50

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Amla population = 3550 / (1 - 0.1125) = 3550 / 0.8875 = 4000. BPL = 29% of 4000 = 1160. New population = 4000 * 1.2 = 4800. New BPL = 1160 * 0.75 = 870. New BPL % = (870 / 4800) * 100 = 18.125%.

AI explanation

The population of Amla is 11.25% more than 3550, which equals 4000. The BPL population in Amla is 29% of 4000, equaling 1160. After one year, the total population increases by 20% to 4800, while the BPL population decreases by 25% to 870. Using the percentage formula, 870 divided by 4800 and multiplied by 100 gives a new BPL percentage of 18.12.

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