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

     

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