- 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 : 835 : 2947 : 435 : 22 : 5Option 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 - 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.
12201100120013451000Option C

Let total number of students = 8x

number of girls = 5x

number of boys = 8x – 5x = 3x

3x = 450

x = 150

Total students = 1200 - 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.
6075488040Option 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 - 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 ?
4800042000430003500030000Option 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 - 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 ?
1015122025Option 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 - 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 liters32 liters28 liters35 liters40 litersOption 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. - 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 : 34 : 53 : 25 : 86 : 9Option 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 - 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 ?
8581927848Option 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 - 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 : 86 : 2 : 35 : 4 : 86 : 6 : 144 : 3 : 2Option 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 - 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.
34004000520032002800Option 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