GMAT Sample Questions | Percents Fraction Q7

GMAT Quant Questionbank | Percentages | Word Problem

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?

  1. 240,000
  2. 300,000
  3. 168,000
  4. 36,000
  5. 24,000

Get to Q51 in GMAT Quant

Online GMAT Course
From INR 3000

Video Explanation

GMAT Live Online Classes

Starts Thu, Dec 14, 2023

Explanatory Answer | GMAT Percentages

Step 1 of solving this GMAT Percents Question: Compute the percentage of votes secured by D and R individually

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.

Step 2 of solving this GMAT Percentage Question: Find the total number of votes secured and margin of votes by which R lost

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.

Choice D is the correct answer.

GMAT Online Course
Try it free!

Register in 2 easy steps and
Start learning in 5 minutes!

★ Sign up

Already have an Account?

★ Login

GMAT Live Online Classes

Next Batch Dec 14, 2023

★ GMAT Live Info

GMAT Ratios Percent Fractions Videos On YouTube

Additional Practice Questions in Ratio Proportion, Mixtures, Percents, Fractions, Profits, and Interest

GMAT Sample Questions | Topicwise GMAT Questions

Where is Wizako located?

Wizako - GMAT, GRE, SAT Prep
An Ascent Education Initiative
14B/1 Dr Thirumurthy Nagar 1st Street
Chennai 600 034. India

Work @ Wizako

How to reach Wizako?

Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Leave A Message

404 Not Found

404 Not Found

nginx/1.18.0 (Ubuntu)