81. The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 19440. Then what was the population in the beginning of first year ?
Sol:
82. In a village 30% of the population is female. 80% of the female and 60% of male are married. Then what will be the % of unmarried population in the village ?
Sol:
∴ total unmarried = 6 + 28 = 34
∴ required % = \(\frac{{34}}{{100}} \times 100\)
= 34% Answer
83. The price of an article was increased by x%. Later the new price was decreased by x%. If the latest price was Rs. 1. Then what was the original price ?
Sol:
84. In the expression xy², the value of both the variables x and y are decreased by 40%. By this the value of the expression is decreased by how much ?
Sol:
∴ required % = \(\frac{{98}}{{125}} \times 100\)
= 78.4% Answer
85. In an election between two candidates, Ankit gets 55% of total valid votes. If the total votes were 5000, what is the number of valid votes that the other candidate Rohit gets, if 20% of the total votes were declared invalid.
Sol:
86. In an election there are three candidates. The winning candidate got 60% votes and the candidate at the third place got 10% of the votes. If the winning candidate win by 12000 votes then find total number of votes while no vote was invalid.
Sol:
The candidate at the second place get
= 100 – (60 + 10) = 30% votes
Difference between winning & second place candidate
= 60 – 30
= 30% ⟶ 12000 (Given)
⟹ 1% ⟶ 400
∴ total votes = 100% = 100 × 400 = 40000 Answer
87. In an election between two candidates 10% of the voters did not cast their votes while 10% of the votes polled were declared invalid. If the winning candidate got 68% of the valid votes an won by 14580 votes then find the total number of voters in the voter list.
Sol:
88. In an election 40% of the voters voted to Ankit and 70% of the remaining voted to Rahul and the remaining did not cast their vote. If the difference between number of voters voted to Ankit and those who do not vote at all is 2400. If no vote was declared invalid then Find the number of voters who have right to vote in this election.
Sol:
89. In an election 10% voters did not participated in election and 5000 votes are found invalid. The winner get 72% of the total voting list and he won by 59000 votes. Find the votes polled in favour of losing candidate.
Sol:
∴ votes of losing candidate = 28 × 1000 – 5000 = 23000 Answer
90. In an election two candidates participated and 10% voters did not vote, 180 votes declared invalid and the winner gets 70% votes of voting list and he win by 1680 votes. Find the number of valid votes and how many votes did losing candidate get ?
Sol:
∴ valid votes = 90x – 180 = 90 × 30 – 180 = 2520 Answer
Loser’s votes = 20x – 180 = 20 × 30 – 180 = 420 Answer
∴ voting = 90 × 30 = 2700
& valid votes = 2700 – 180 = 2520 Answer
& Loser’s votes = 20 × 30 – 180 = 420 Answer