Question 7 - Figure it out - Page 19, 20 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

Transcript

Question 7 1600 people voted in an election and the winner got 500 votes. What percent of the total votes did the winner get? Can you guess the minimum number of candidates who stood for the election?Given Total votes = 1600 Winner votes = 500 Thus, Percentage of total votes winner gets = (𝑊𝑖𝑛𝑛𝑒𝑟 𝑉𝑜𝑡𝑒𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑣𝑜𝑡𝑒𝑠) × 100 = 𝟓𝟎𝟎/𝟏𝟔𝟎𝟎 × 100 = 5/16 × 100 = 5/16 × 100 = 𝟓/𝟒 × 25 = 125/4 = 31.25% Now, the next part of our question is Can you guess the minimum number of candidates who stood for the election? Total votes = 1600. Winner = 500 Remaining votes for "losers" = 1600 - 500 = 1100 For the winner to theoretically win with 500, no other candidate can have 500 or more The maximum votes a loser can have is 499 How many people do we need to "absorb" the remaining 1100 votes so that none of them crosses 499? If we have 2 losers: 499 + 499 = 998 votes. We still have 1100 - 998 = 102 votes left over. We need a 3rd loser to take those votes. So, we need: 1 Winner + 2 Losers (maxed out) + 1 Loser (rest) = 4 candidates.