Multiple choice

The average weight of 3 persons Kora, Tanzin and Zuko is 90 kg. Another man Bumi joins the group and the average now becomes 85 kg. If another man Marko, whose weight is 3 kg more than that of Bumi, replaces Kora then the average weight of Tanzin, Zuko, Bumi and Marko becomes 81 kg. The weight of Kora is

  1. 99 kg

  2. 85 kg

  3. 94 kg

  4. 82 kg

  5. 89 kg
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The decrease in the average of three persons is 90 – 85 = 5 kg. Total decrease for three persons is 5 × 3 = 15 kg. The weight of Bumi must be New average – Decrease i.e. 85 – 15 = 70 kg. Marko is weight is 3 kg more i.e. 73 kg replaces Kora and thus the average becomes 81. Now if you compare the four persons with Marko the average decreases by 4, thus the total decrease is 4 × 4 = 16 kg. The new included person Marko must be 16 kg lighter than the person who is excluded i.e. Kora. Thus weight of A is 73 + 16 = 89 kg.

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