Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
In an election between two candidates, one candidate got 38% of the votes and yet lost by 7200 votes. If all the votes polled were valid, then the total number of votes cast in the election was:
13,800
13,000
16,200
30,000
30,000
Calculate the percentage difference between the two candidates: 62%тИТ38%=24%. Since 24% of the total votes represents 7200, the total is 0.247200тАЛ=30000.
Candidate 1 got 38% of the total votes, Candidate 2 got the remaining 62% of votes, and the losing candidate lost by 7200 votes.
V=P2тАЛтИТP1тАЛDтАЛ├Ч100
Calculate the percentage difference between the two candidates: 62%тИТ38%=24%. Since 24% of the total votes represents 7200, the total is 0.247200тАЛ=30000.
Students often calculate 38% of 7200 instead of identifying that 7200 represents the difference between the two candidates' vote shares.
Define vote percentages
If one candidate receives 38% of the total votes, the other candidate must receive 100%тИТ38%=62% of the votes.
P2тАЛ=100%тИТ38%=62%
Calculate the percentage margin
The losing candidate lost by the difference in percentage of total votes.
62%тИТ38%=24%
Calculate total votes
Given that 24% of total votes (V) equals 7200, solve for V.
0.24├ЧV=7200тЯ╣V=0.247200тАЛ=30000
D is correct because the difference of 24% of the total votes equals 7200, which results in 30,000 total votes.
This concept of margin-based percentage problems is frequently used in profit/loss calculations and mixture problems as well.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants