Mathematics Mcqs

The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?

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The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?

A. 10 20/23 %
B. 13 1/23 %
C. 16 2/3 %
D. 15 %
Explanation:
Reduction % in consumption
= {r/(100+r) ×100} % =(15/115 × 100)%
= 300/23 % = 13 1/23 %

The value of a plant depreciates by 10 % annually. If the present value of the plant is Rs. 100000, then what will be its value after 2 years?

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The value of a plant depreciates by 10 % annually. If the present value of the plant is Rs. 100000, then what will be its value after 2 years?

A. Rs. 8000
B. Rs 10000
C. Rs. 18000
D. Rs. 81000
Explanation:
Value after 2 Years = Rs[100000 × (1 – 10/100)2]
= Rs (100000 × 0.9 × 0.9) = Rs 81000

Three candidates in an election received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

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Three candidates in an election received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

A. 11. 6 %
B. 60 %
C. 76. 4 %
D. None of these
Explanation:
Total votes = (1136 + 7636 + 11628) = 20400
Required % = (11628/20400 × 100)% = 57%

10 % of the electorate did not cast their votes in an election between two candidates. 10 % of the votes polled were found invalid. The successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voter’s list was___________?

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10 % of the electorate did not cast their votes in an election between two candidates. 10 % of the votes polled were found invalid. The successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voter’s list was___________?

A. 25000
B. 33000
C. 35000
D. 40000
Explanation:
Let the number of votes enrolled be x
Votes cast = (90/100 × x) = 9x/10
Valid votes = 90% of 9x/10 = (90/100 × 9x/10) = 81x/100
Votes polled by successful candidate
= (54/100 × 81x/100) = 4374x/10000
Votes polled by defeated candidate
= (46/100 × 81x/100) = 3726x/10000
=> 4374x – 3726x = 16200000
=> x = 16200000/648 = 25000

In an election between two candidates 75 % of the voters cast their votes. Out of which 2 % of the voters were declared invalid. A candidate got 9261 votes which were 75 % of the total valid votes. The total number of voters enrolled in that election was:__________?

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In an election between two candidates 75 % of the voters cast their votes. Out of which 2 % of the voters were declared invalid. A candidate got 9261 votes which were 75 % of the total valid votes. The total number of voters enrolled in that election was:__________?

A. 10000
B. 16400
C. 16800
D. 18000
Explanation:
Let the enrolled votes be x,
Votes cast = (75/100 × x) = 3x/4
Valid votes = (98/100 × 3x/4)
= 147x/200 75/100 × 147x/200 = 9261
=> 441x = (9261 × 800)
=> x = 16800

In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was_________?

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In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was_________?

A. 2700
B. 2900
C. 3000
D. 3100
Explanation:
Valid votes = (80/100 × 7500) = 6000
Valid votes polled by one candidates
=(55/100 × 6000) = 3300
Valid votes polled by another candidate
= (6000 – 3300) = 2700

8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was_________?

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8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was_________?

A. 21000
B. 2200
C. 23500
D. 27500
Explanation:
Let the total number of voters be x
Votes cast = 92 % of x = (92/100 × x) = 23x/25
Votes in favour of winning candidate = 48/100 × x
= 12x/25
Votes polled by defeated candidate = (23x/25 – 12x/25)
= 11x/25 12x/25 – 11x/25 = 1100
=> 12x – 11x = 27500
=> x = 27500

The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:_________?

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The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:_________?

A. 989, 1501
B. 1011, 1479
C. 1401, 1089
D. 1411, 1079
Explanation:
Let the number be x and (2490 – x).
Then 6.5 % of x = 8.5 % of (2490 – x)
=> 6.5/100 × x = 8.5/100 × (2490 – x)
=> 65x/1000 = 85(2490 – x)/1000
=> 65x = (85 × 2490) – 85x
=> 150x =(85 × 2490)
=> x = 211650/150 = 1411
Hence the numbers are 1411 and (2490 – 1411) = 1079