Question

    There are three bags, A, B, and C, each containing two

    different colored bands: red and yellow. The ratio of the total number of bands from A, B, and C is 2:3:1. Further, (1/5)th of the bands from C are red, (2/5)th of the bands from B are red, and (1/2) of the bands from A are red. What percent of the total number of bands from all the bags together are yellow?
    A 45% Correct Answer Incorrect Answer
    B 60% Correct Answer Incorrect Answer
    C 75% Correct Answer Incorrect Answer
    D 35% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Yellow bands from Bag A = (1/2) × 2x = x Yellow bands from Bag  B = (3/5) × 3x = (9x/5) Yellow Bands from Bag C = (4/5) × x = (4x/5) Total yellow Bands = x + (9x/5) + (4x/5) = (18x/5) Required percentage =[ (18x/5)/6x] × 100 = 60%

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