UPSC Prelims 1999·GS1·science-and-technology·science and technology

Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony weigh 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct arrangement of the persons in the ascending order of their weights is

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  1. AAnthony, Akbar, Farah, Amar
  2. BAnthony, Akbar, Amar, Farah
  3. CAkbar, Anthony, Amar, Farah
  4. DAkbar, Anthony, Farah, AmarCorrect

Explanation

To solve this problem, let us assume Akbars weight is 100 kg to simplify the ratios.

First, calculate Amars weight. Amar weighs 50 percent more than Akbar, so Amar weighs 150 kg.

Second, calculate Anthonys weight. Anthony weighs 25 percent less than Amar. 25 percent of 150 is 37.5. Therefore, 150 minus 37.5 equals 112.5 kg.

Third, calculate Farahs weight. The combined weight of the three boys is 100 plus 150 plus 112.5, which equals 362.5 kg. Farah weighs a third of this total, which is approximately 120.8 kg.

Comparing the four weights: Akbar: 100 kg Anthony: 112.5 kg Farah: 120.8 kg Amar: 150 kg

Arranging them in ascending order gives Akbar, Anthony, Farah, and Amar. This matches option D.

science-and-technology: Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony w
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