In an election of 3 candidates a, b and c , a gets 50% more votes than b. a also beats c by 18000 votes .if it is known that b gets 5% more votes than c, find the number of voters on voting list ( given that 90% of voters in the list votes and no votes were illegal.
A. 72000
B. 81000
C. 90000
D. 100000
Why have you made the eqn equal to 100 when it should ve equal to 90 as the votes a b c got will be equal to peoplewho voted that is 90% of voters on list
let B get (X)% votes
therefore A=(1.5X)% (i.e.,50% more than B)
C=(X-5)% (B gets 5% more than C)
total votes A+B+C=1.5X+X+(X-5)=100
on solving we get 3.5X=105...i.e., X=30
X is nothing but B
therefore
A=(1.5*30=45)
B=30
C=25
Now, if @ 45 votes A beat C by 20
then if A beat C by 18000 votes (cross-multiplication) we will have vote for A
A=40500
now for B and C
if @ A=45 real value of A is 40500 the for B(@30) we have real value =27000 and similar for C we get C=22500 (Cross multiplication)
now adding A+B+C=40500+27000+22500=90,000( given that 90% of voters in the list votes ) therefore total voters will be 1,00,000
is answer 81000?
No
Explain in detail rajput sir
D