Question

In an election there were only two contestants P and Q 14% of the total votes polled were invalid The number of valid votes secured by P was 15% more than secured by Q. What percentage of the total votes was cast in favour of Q?
A. 0.48
B. 0.375
C. 0.4
D. 0.315

Answer 1

Correct Answer - C
Let the total number of votes casted be 100x
The number of invalid votes `=(14)/(100)(100x) =14x`
The number of valid votes `=100x =14x =86x`
Let the number of votes secured by Q be q
Number of votes secured by P=q
`(1-(15)/(100))=(23)/(20)q rArr (23)/(20) q+q =86x`
` (43)/(20) q=86x rArr q=40x`
`:. ` the required percentage `=(40x)/(100x) (100%) =40%`