The given question is a GMAT 650 level problem solving question from the topic Percentages. The concept tested in this GMAT sample question is to find the whole given a part and information about what % of the whole is the part.

Question 7: 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, by how many votes did it lose the election?

- 240,000
- 300,000
- 168,000
- 36,000
- 24,000

@ INR

The keyword in this question is that Party D secured 12% of **total votes** more than Party R. It is 12% of __all votes__.

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

Therefore, the percentage of total votes secured by Party R = (x − 12)%

As there are only two parties contesting the election, the sum of the votes secured by the two parties should add 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 total votes, then Party R would have got (56 − 12) = 44% of the total votes.

Party R got 132,000 votes. Party R got 44% of the total votes.

∴ 44% of the total votes = 132,000

i.e., \\frac{44}{100}) × Total votes = 132,000

=> Total votes = \\frac{132000 × 100}{44}) = 300,000 votes.

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

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

**Party R lost the election by 36,000 votes. **

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