Five Sisters Water Buckets

XAT 2012 · Quantitative Ability & Data Interpretation · Easy · Ratios and Proportions

Tina, Mina, Gina, Lina and Bina are 5 sisters, aged in that order, with Tina being the eldest. Each of them had to carry a bucket of water from a well to their house. Their buckets' capacities were proportional to their ages. While returning, equal amount of water got splashed out of their buckets. Who lost maximum amount of water as a percentage of the bucket capacity?

  1. A.

    Tina

  2. B.

    Mina

  3. C.

    Gina

  4. D.

    Lina

  5. E.

    Bina

Answer

E

Explanation

Since Bina is the youngest, her bucket capacity CC is the smallest. The percentage lost is xC×100%\frac{x}{C} \times 100\%. For a constant amount xx, smaller CC yields a higher percentage.

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