Question

In a election between two candidate 10% of votes were invalid winner got 70% of valid votes and was elected by a majority of 900 votes. Find the total number of votes

Answer 1

Answer:

Total number of votes = 2500

Step-by-step explanation:

Let total number of votes be V

Valid votes = 90% of V = 0.9 V

70% of (0.9 V) - 30% of (0.9 V) = 900

40% of (0.9 V) = 900

0.9 V = 9000 / 4 = 2250

V = 2250 / (9 / 10) = 22500 / 9 = 2500

Check

90% of 2500 = 2250

70% of 2250 = 1575

30% of 2250 =  675

And,

1575 - 675 = 900