Question

in an election between two candidates one candidate secured 43% vite of the total votes polled and lost by 4900votes.find the total number​

Answer 1

Answer:

35000 votes

Step-by-step explanation:

one got 43% so the other got 57% votes

now person who got 43% votes lost by 4900 votes

ie 57x /100 - 43x / 100= 4900

14x / 100 = 4900

x = 4900 × 100 / 14 = 35000

so total votes are 35000

Answer 2

$\huge\sf{Question}$

1. In an election between two candidates, one candidate secured 43% of the total votes polled and lost the election by 4900 votes. Find the total number of votes polled.

$\huge\sf{To \: find}$

• The total number of votes polled

$\huge\sf{Solution}$

Since, losing candidate secured 43% of the votes polled

$\sf{Winning \: candidate \: secured \: (100-43) \%=56 \% \: of \: the \: votes \: polled}$

and, difference of their votes = 57% - 43%

= 14% of the votes polled

Given :

$\sf{14\% \: of \: votes \: polled=4900} \\ \sf{=> \dfrac{14}{100} \times votes \: polled = 4900} \\ \sf{=> The \: total \: no. \: of \: votes \: polled=4900 \times \dfrac{100}{14}=35,000}$

Alternative method:-

Let the total number of votes polled = 100

=> The losing candidate gets 43% of 100 = 43 votes

and, the winning candidate gets = 100 - 43 = 57 votes

:⟹ The no. of votes by which the losing candidate has lost the election = 57 - 43 = 14

Applying unitary method:-

When the election is lost by 15 votes,

the total no. of votes polled = 100

:⟹ when election is lost by 4900 votes,

$\sf{the \: total \: no \: of \: votes \: polled \: = \dfrac{100}{14} \: \times \: 4900 = 35000}$