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Q:

If A's height is 40% less than that of B, how much percent B's height is more than that of A?

A) 66.66%	B) 76.66%
C) 96.66%	D) 86.66%

Answer & Explanation Answer: A) 66.66%

Explanation:

Excess of B's height over A's = [(40/(100 - 40)] x 100% = 66.66%

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Q:

A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?

A) 1000	B) 2000
C) 3000	D) 4000

Answer & Explanation Answer: A) 1000

Explanation:

Let the original number be x.

Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x.

x-(99/100)x=10

=> x =1000

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Q:

In a hoel, 60% had vegetarian lunch while 30% had non-vegetaian lunch and 15% had both types of lunch. If 96 people were present, how many did not eat either type of lunch ?

A) 24	B) 30
C) 36	D) 42

Answer & Explanation Answer: A) 24

Explanation:

n (A) = (60/100 * 96) = 288/5, n (B) = (30/100 * 96) = 144/5, n (A ∩ B) = (15/100 * 96) = 72/5.

n(A ∪ B) = n (A) + n (B) - n (A ∩ B) = 72.

So, people who had either or both types of lunch = 72.

Hence, people who had neither type of lunch = (96 - 72)= 24.

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Q:

405 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 recieve ?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: A) 9

Explanation:

Let the total number of children be x.

Then, x * (20% of x) = 405

=> x * 20x/100 = 405

$\frac{1}{5} x^{2}$ = 405

=> x=45

Number of sweets received by each child = 20% of 45 = 9.

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Q:

The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is :

A) 60	B) 70
C) 80	D) 90

Answer & Explanation Answer: A) 60

Explanation:

We have : x + (x% of 150 )= 150

=> x+(x/100)*150] = 150

=> $\frac{5}{2} x = 150$

=> x = (150*2)/5 = 60

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Q:

If 20% of a = b, then b% of 20 is the same as :

A) 4% of a	B) 6% of a
C) 8% of a	D) 10% of a

Answer & Explanation Answer: A) 4% of a

Explanation:

20% of a = b

=> (20/100) * a = b

b% of 20 =(b/100) x 20 = [(20a/100) / 100] x 20= 4a/100 = 4% of a.

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Q:

The difference between a number and its two-fifth is 510. What is 10% of that number ?

A) 75	B) 85
C) 95	D) 105

Answer & Explanation Answer: B) 85

Explanation:

Let the number be x. Then, x-(2/5)x = 510

=> 3x/5 =510

=>x =[510 * ( 5/3)] =850

10 % 0f 850 = 85.

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Filed Under: Percentage

Q:

A student multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation ?

A) 54 %	B) 64 %
C) 74 %	D) 84 %

Answer & Explanation Answer: B) 64 %

Explanation:

Let the number be x.

Then, ideally he should have multiplied by x by 5/3. Hence Correct result was x * (5/3)= 5x/3.

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