# Quantitative Aptitude: Ratio and Proportion Questions Set 11

1. Vessels A and B contain the mixture of alcohol and water in the ratio of 4 : 5 and 3 : 2 respectively. If vessels A and B are mixed then what is the ratio of new mixture which is obtained ?
5 : 8
35 : 29
47 : 43
5 : 2
2 : 5
Option C
Quantity of alcohol and water in vessel B = 3/5 and 2/5
New ratio = (4/9 + 3/5) : (5/9 + 2/5)
= (20 + 27/45) : (25 + 18/45)
= 47 : 43

2. The ratio of total students to number girl of a particular class is 8 : 5. If numbers of boys of that class is 450 , then find the total number of students.
1220
1100
1200
1345
1000
Option C
Let total number of students = 8x
number of girls = 5x
number of boys = 8x – 5x = 3x
3x = 450
x = 150
Total students = 1200

3. Sipun has three types of coins 10 paisa, 50 paisa and 20 paisa of coin is 4 : 2 : 5. If total coins worth is rs.96, then find the number of 50 paisa coins.
60
75
48
80
40
Option D
Let number of 10 paisa, 50 paisa and 20 paisa coins are 4x, 2x and 5x respectively.
4x * 10 + 2x * 50 + 5x * 20 = 9600
40x + 100x + 100x = 9600
x = 40
number of 50 paisa coins = 2x = 80

4. The ratio of monthly income of A and B is 3 : 5 and the ratio of the expenditure of A and B is 6 : 11. If the savings of A and B are rs.6000 and rs.8000 respectively. What is expenditure of B ?
48000
42000
43000
35000
30000
Option E
Let income of A and B are 3x and 5x.
3x – 6000/5x – 8000 = 6/11
33x – 66000 = 30x – 48000
3x = 18000
x = 6000
income of B = 5 * 6000 = 30000

5. There are total of 48 employees in a company. The ratio of male employees to the female employees is 5 : 3. How many more female employees to be recruited to that the ratio becomes 1 : 1 ?
10
15
12
20
25
Option C
Number of male employees = 48 * 5/8 = 30
number of female employees = 48 * 3/8 = 18
Let number female employees recruited = x
30/18 +x = 1/1
18 + x = 30
x = 12

6. The ratio of milk and water in a mixture is 6 : 5 and 22 liter of mixture is replaced with water, so that ratio of milk and water in new mixture is 3 : 8, then how much quality of water in the mixture initially ?
20 liters
32 liters
28 liters
35 liters
40 liters
Option A
Let quality of milk and water are 6x and 5x respectively.
(6x – 22 * 6/11)/(5x – 22 * 5/11+22)= 3/8
6x – 12/5x + 12 = 3/8
48x – 96 = 15x + 36
33x = 132
x = 4
quality of water initially = 5x = 5 * 4 = 20 liters.

7. The ratio of income to expenditure of A is 4 : 3 and that of B 5 : 3. If savings of B is double that of A, then what could be the ratio of total income of A and B together to the total expenditure of A and B together ?
2 : 3
4 : 5
3 : 2
5 : 8
6 : 9
Option C
Let income and expenditure of A = 4x and 3x
income and expenditure of B = 5x and 3x
saving of A = 4x – 3x = x
saving of B = 5x – 3x = 2x
ratio = (4x + 5x) : (3x + 3x)
= 9x : 6x = 3 : 2

8. The ratio of male employees to female employees of a bank is 5 : 4. If 10 male employees left the job and 4 more female employees joined the bank, so that ratio between male to female employees is 7 : 8, then find the total employees of the bank initially ?
85
81
92
78
48
Option B
Let male and female employees are 5x and 4x respectively.
5x – 10/4x + 4 = 7/8
40x – 80 = 28x + 28
12x = 108
x = 9
total male and female employees initially = 5x + 4x = 9x = 9 * 9 = 81

9. The seats for commerce, science and arts in a college are in the ratio of 5 : 4 : 8. If these seats are increased by 20%, 50% and 75% respectively, what will be the ratio of the increased seats of the college ?
5 : 2 : 8
6 : 2 : 3
5 : 4 : 8
6 : 6 : 14
4 : 3 : 2
Option D
Let commerce seats = 5x
science seats = 4x
Arts seats = 8x
ratio of commerce, science and arts seats after increased = (5x * 6/5) : (4x * 3/2) : (8x * 7/4)
= 6x : 6x : 14x
= 6 : 6 : 14

10. Total income of A, B and C is rs.9400. If A’s income is 4/5th of B’s income and B’s income is 3/4th of C’s income, then find the income of C.
3400
4000
5200
3200
2800
Option B
A = 4/5 B
A/B = 4/5
A/B = 4 * 3/5 * 3 = 12/15
B = 3/4 *C
B/C = 3/4
B/C = 3 * 5/4 * 5
B/C = 15/20
ratio of A, B and C = 12 : 15 : 20
B’s income = 9400 * 20/47 = 4000