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1) A’s income is 120% of B’s income and C’s income is 80% of A’s income. If the average income of A, B and C is Rs.3950, what is C’s income?
A.Rs.3200
B.Rs.3400
C.Rs.3600
D.Rs.3800
E.None of these
2) If the average number of red and yellow balls is 40 and the ratio of the number of red, yellow and blue is 3:2:5. Find the number of blue balls?
A.40
B.60
C.80
D.70
E.None of these
3) The ratio of the income of A and B is 3:2 and the ratio of their expenditure is 6:5. If the ratio of the income to savings of A is 3:1, then what is the ratio of the savings of A to B?
A.2:1
B.2:3
C.3:1
D.3:2
E.None of these
4) Ratio of the number of male to female employees in a company is 5:4. If 10 men and 12 female employees left from the company, then the ratio of the number of male to female employees in the company becomes 3:2. Find the initial number of employees in the company?
A.63
B.72
C.81
D.54
E.60
5) A box contains Rs.1, 50 paisa and 25 paisa coins in the ratio of 3: 2: 4. If total value of money in the box is Rs.180 and then find the number of 25 paisa coins in the box?
A.110
B.144
C.134
D.140
E.120
6) Ratio of the number of boys to girls in a class is 6:5. If the number of boys and girls increased by 40% and 60% respectively, what is the final ratio of the number of boys to girls in the class?
A.19:18
B.20:19
C.21:20
D.22:21
E.None of these
7) The ratio of the number of boys to girls in the class is 3: 4. If 18 boys and 16 girls joined the class, then the ratio of the number of boys to girls in the class becomes 9: 10. What is the initial number of girls in the class?
A.20
B.24
C.30
D.36
E.None of these
8) Ratio of the income of A and B is 5:4 and the ratio of the expenditure of A and B is 3:2. If the Savings of A and B is Rs.2000 and Rs.4500 respectively, then what is the difference between the income of A and B?
A.Rs.3850
B.Rs.4250
C.Rs.4750
D.Rs.5240
E.None of these
9) The ratio of the number of red to blue balls in box A is 2:3 and the number of red to blue balls in box B is 3:5. If balls in both boxes are mixed, then what is the ratio of the number of red to blue balls in the mixture?
A.31:49
B.5:8
C.29:47
D.14:23
E.None of these
10) The ratio of the number of balls in box A to B is 3: 4. If 20 balls added to box A and 10 balls drawn from box B, then the ratio of the number of balls in A to B is 2: 1, find the initial number of balls in box B?
A.30
B.24
C.28
D.32
E.None of these
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Answers :
1) Answer: C
A = 120/100 * B
A/B = 6/5
C = 80/100 * A
C/A = 4/5
A:B:C = 30:25:24
A + B + C = 3950 * 3 = 11850
C’s income = 24/79 * 11850 = 3600
2) Answer: C
Sum of Red and Yellow = 40 * 2 = 80
3x + 2x = 80
x = 16
Number of blue balls = 5 * 16 = 80
3) Answer: C
Income of A = 3x
Income of B = 2x
Expenditure of A = 6y
Expenditure of B = 5y
A’s savings = 3x – 6y
A’s savings = 1/3 * 3x = x
3x – 6y = x
2x = 6y
x = 3y
B’s savings = 2x – 5y = 2x – 5 * (x/3)
= 6x – 5x/3 = x/3
Required ratio = x:x/3 = 3:1
4) Answer: B
(5x – 10)/(4x – 12) = 3/2
10x – 20 = 12x – 36
2x = 16
x = 8
Total number of employee = 9x = 9 * 8 =72
5) Answer: B
3x + 2x * 1/2 + 4x * 1/4 = 180
3x + x + x = 180
5x = 180
x = 36
Number of 25 paisa coins = 4 * 36 = 144
6) Answer: C
Required ratio = 6 * 140/100: 5 * 160/100
=21:20
7) Answer: B
(3x + 18)/(4x + 16) = 9/10
36x + 144 = 30x + 180
6x = 36
x = 6
Number of girls = 4 * 6 = 24
8) Answer: C
(5x – 2000)/(4x – 4500) = 3/2
12x – 13500 = 10x – 4000
2x = 9500
X = 4750
Difference between the income of A and B = Rs.4750
9) Answer: A
Required ratio = (2/5 + 3/8):(3/5 + 5/8)
= 31:49
10) Answer: D
(3x + 20)/(4x – 10) = 2/1
8x – 20 = 3x + 20
5x = 40
x = 8
Number of balls in box B = 4 * 8 = 32
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