Percentage Mcqs

The ratio of the number of boys and girls is 3:2 if 20 % of the boys and 30 % of the girls are scholarship holders then the percentage of students who do not get scholarship is_________?

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The ratio of the number of boys and girls is 3:2 if 20 % of the boys and 30 % of the girls are scholarship holders then the percentage of students who do not get scholarship is_________?

A. 50
B. 72
C. 75
D. 76
Explanation:
Let the number of boys be 3x and number of girls be 2x.
Number of scholarship holders
= (20/100 ×3x+ 30/100 ×2x) = 6x/5
Number of those who do not hold scholarship
= (5x- 6x/5) = 19x/5
Required percentage = (19x/5 × 1/5x ×100) % = 76 %

In an examination, 65 % of the total examinees passed if the number of failures is 420, the total number of examinees is:_________?

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In an examination, 65 % of the total examinees passed if the number of failures is 420, the total number of examinees is:_________?

A. 500
B. 1200
C. 1000
D. 1625
Percentage of failure = (100 – 65) % = 35 %
Let the total number of examinees be x.
Then 35 % of x = 420
=> 35/100 × x = 420
=> x =(420 × 100/35) = 1200

Rs. 395 are divided among A, B and C ins such a manner that B gets 25 % more than A and 20 % more than C. The share of A is:

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Rs. 395 are divided among A, B and C ins such a manner that B gets 25 % more than A and 20 % more than C. The of A is:

A. Rs. 198
B. Rs. 120
C. Rs. 180
D. Rs. 195
Explanation:
Suppose A gets Rs. x.
Then B gets 125 % of x = 125/100 × x = Rs. 5x/4
If B gets Rs. 120.
Then c gets Rs. 100
If B gets Rs 5x/4, then c gets = Rs (100/120 ×5x/4)
= Rs 25x/24 x + 5x/4 + 25x/24 = 395
=> (24x + 30x + 25x) = (395 × 24)
=>79x = (395 × 24)
= > x = ((395 ×24)/79) = 120
Hence, A gets Rs. 120

605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20 % of the total number of children. How many sweets did each child receive?

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605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20 % of the total number of children. How many sweets did each child receive?

A. 11
B. 24
C. 45
D. cannot be determined
Let the total number of children be x.
Then x × 20/100 × x = 605
=> x2 = 3025
=> x = √3025 = 55
Number of sweets received by each child
= (20/100 ×55) = 11

Two numbers are less than q third number by 30 % and 37 % respectively. How much percent is the second number less than the first?

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Two numbers are less than q third number by 30 % and 37 % respectively. How much percent is the second number less than the first?

A. 10 %
B. 15 %
C. 20 %
D. 25 %
Explanation:
Let the 3rd number be 100.
Then 1st number = 70,
2nd number = 63
2nd number is less than 1st by = (7/70 ×100) % = 10 %

The price of an article has been reduced by 25 %. In order to restore the original price, the new price must be increased by:________?

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The price of an article has been reduced by 25 %. In order to restore the original price, the new price must be increased by:________?

A. 33 1/3 %
B. 11 1/9 %
C. 9 1/11 %
D. 66 2/3 %
Explanation:
Let original price = Rs. 100.
Reduced Price = Rs. 75.
Increase on Rs. 75 = Rs. 25
Increase on 100 = (25/75 x 100) % = 33 1/3 %