# XAT 2012 Quant Question 63 : Percentage, Ratio, Proportions

## Question - 1 Mark

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?

- Tina
- Mina
- Gina
- Lina
- Bina

**Correct Answer** : Bina. Choice (E)

#### Explanatory Answer

Tina is the older and Bina is the youngest.

So, Bina's bucket would have been the smallest.

Each sister lost equal amount of water.

As a proportion of the capacity of their buckets Bina would have lost the most.

Alternatively, you could solve this question by assuming some numbers for the capacity of the buckets that are in descending order from Tina to Bina and a value for the quantity that was lost and compute the percentages and verify.

Level of difficulty : Very Easy

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