 # 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

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.

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

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

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