# Percentages - Quant/Math - XAT 2016 Practice

This question is from the topic Percentages.

## Question

In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes and there are no invalid votes, by how many votes did it lose the election?

- 300,000
- 168,000
- 36,000
- 24,000

#### Correct Answer

**36,000**. Choice (3)

#### Explanatory Answers

Let the percentage of the total votes secured by Party D be x%

Then the percentage of total votes secured by Party R = (x - 12)%

As there are only two parties contesting in the election, the sum total of the votes secured by the two parties should total up to 100%

i.e., x + x - 12 = 100

2x - 12 = 100

or 2x = 112 or x = 56%.

If Party D got 56% of the votes, then Party got (56 - 12) = 44% of the total votes.

44% of the total votes = 132,000

i.e.,

= 132,000

T =

= 300,000 votes.

The margin by which Party R lost the election = 12% of the total votes

= 12% of 300,000 = 36,000.

Correct Answer : Choice (3)

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