in an election a candidate security 62% of the votes polled and win the election by 16560 votes find the total votes and the votes
by the winning candidate
Answers
Step-by-step explanation:
Answer:
Total number of votes polled (x) = 600
Explanation:
Let Total number of votes polled = x
Given,
Number of votes secured by the
winner = 62% of x ---(1)
Number votes secured by the loser = (100-62)% of x
= 38% of x ----(2)
According to the problem given,
margin votes = 144
/* subtracting (2) from (1) equal to margin votes */
62% of x - 38% of x = 144
=> x(62-38)% = 144
=>x × 24% = 144
\implies x \times \frac{24}{100}=144⟹x×
100
24
=144
\implies x = 144 \times \frac{100}{24}⟹x=144×
24
100
\implies x = 6 \times 100⟹x=6×100
\implies x =600⟹x=600
Therefore,
Total number of votes polled (x) = 600
••••
Answer:
Total number of votes polled (x) = 600
Explanation:
Let Total number of votes polled = x
Given,
Number of votes secured by the
winner = 62% of x ---(1)
Number votes secured by the loser = (100-62)% of x
= 38% of x ----(2)
According to the problem given,
margin votes = 144
/* subtracting (2) from (1) equal to margin votes */
62% of x - 38% of x = 144
=> x(62-38)% = 144
=>x × 24% = 144
\implies x \times \frac{24}{100}=144⟹x×
100
24
=144
\implies x = 144 \times \frac{100}{24}⟹x=144×
24
100
\implies x = 6 \times 100⟹x=6×100
\implies x =600⟹x=600
Therefore,
Total number of votes polled (x) = 600