Percentage 4

11. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
1. 42, 33
2. 42, 36
3. 44, 33
4. 44, 36

Answer & Explanation

Answer:- 1

Explanation

Let Marks of first student be x And (x+9).
Then, x+9 = 56/100(x + 9 +x)
= 25(x+9)
= 14 (2x + 9)
= 3x = 99
Therefore x = 33.So, their marks are 42 and 33

 

12. If A = x% of y and B = y% of x, then which of the following is true?
1. None of these
2. A is smaller than B.
3. Relationship between A and B cannot be determined.
4. If x is smaller than y, then A is greater than B.
5. A is greater than B.

Answer & Explanation

Answer:- 1

Explanation :-

A=(x*y)/100
B=(y*x)/100
Therfore A=B

 

13. If 20% of a = b, then b% of 20 is the same as:
1. None of these
2. 10% of a
3. 4% of a
4. 20% of a

Answer & Explanation

Answer:- 3

Explanation :-

b=(20/100)*a
b=(1/5)*a
b% of 20=20*(1/5)*a
Therefore  b% of 20=4%Of a

 

14. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
1. 2 : 1
2. 1 : 2
3. 1 : 1
4. 4 : 3

Answer & Explanation

Answer:- 4

5% of A + 4% of B =(2/3)(6% of A + 8% of B)
(5A/100)+(4B/100)=(2/3)((6A/100)+(8B/100)
=>15A+12B=12A+16B
=> 3A = 4B

 

15. Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
1. Rs. 150
2. Rs. 300
3. Rs. 250
4. Rs. 200

Answer & Explanation

Answer:- 3

Explanation :-
x = 120% of y
Therefore :-   y+ 120%of y=550
y+(6/5)y=550
(11/5)y=550
y=250

 

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