Quantitative Aptitude: Ratio and Proportion Questions Set 13

  1. The ratio of amount of A and B is 4 : 3 and the ratio of amount of B and C is 4 : 5 . If the total number of amount A , B and C have rs. 3870, then find the how much amount B have ?
    1200
    2340
    1080
    880
    960
    Option C
    Ratio of amount of A and B = 4 : 3
    ratio of amount of B and C = 4 : 5
    By multiplying ‘4’ in ratio of A and B
    A : B = (4 : 3) 4 = 16 : 12
    By multiplying ‘3’ in ratio of B and C
    B : C = (4 : 5) 3 = 12 : 15
    A : B : C = 16 : 12 : 15
    let amount of A , B and C have = 16x , 12x and 15x
    total = 43x
    43x = 3870
    x = 90
    12x = 1080
    B have = 1080

     

  2. Rabin has three types of coins i.e 10 paisa , 20 paisa and 50 paisa and total value of this coins is rs. 78. The number of coins is in the ratio of 6 : 4 : 5. Find the number 10 paisa coins.
    180
    300
    120
    140
    420
    Option C
    Let the number coins of 10 paisa , 20 paisa and 50 paisa is 6x, 4x and 5x respectively.
    (10 * 6x) + (20 * 4x) + (50 * 5x) = rs. 78
    60x + 80x + 250x = 78
    390x = 7800
    x = 20
    The number 10 paisa coins = 6 * 20 = 120

     

  3. A sum of amount of rs. 3500 is divided between three friends. The ratio of amount given to P and Q is 2 : 3 and Q and R is 3 : 5. What is difference the amount given to P and R ?
    1240
    940
    480
    1050
    1280
    Option D
    Let the amount given to P and Q = 2x and 3x
    Q and R = 3x and 5x
    total amount = 3500
    2x + 3x + 5x = 3500
    10x = 3500
    x = 350
    difference = 5x – 2x = 3x = 3 * 350 = 1050

     

  4. Rohit gave half of his monthly salary to his parents and one-third of remaining salary to his wife and remaining his salary gave to his son and daughter in the ratio of 13 : 12. If his monthly salary is rs.45000, then find how much amount he gave to his son ?
    4500
    3450
    6300
    5200
    7800
    Option E
    Rohit gave to his parents = 45000/2 = 22500
    remaining salary = 45000 – 22500 = 22500
    he gave to his wife = 22500 * 3 = 7500
    remaining salary = 22500 – 7500 = 15000
    he gave to his son = 15000 * 13/25 = 7800

     

  5. Two numbers are in the ratio of 4 : 3. When we added 60 in each number the ratio becomes 30 : 23. Find the sum of both initial numbers.
    1520
    2000
    1470
    3800
    2540
    Option C
    Let two numbers is 4x and 3x
    When we added 60
    4x + 60 / 3x + 60 = 30/23
    92x + 1380 = 90x + 1800
    2x = 420
    x = 210
    total sum = 4x + 3x = 7x = 7 * 210 = 1470

     

  6. The ratio of income of Rahul and Raju in the ratio of 6 : 5 and they saved rs. 1500 each, Their expenditure ratio 9 : 7 , then find what is the sum of their incomes ?
    14000
    18000
    35000
    20000
    11000
    Option E
    Let income of Rahul and Raju = 6x and 5x
    they saved = 1500 each
    6x – 1500 / 5x – 1500 = 9/7
    42x – 10500 = 45x – 13500
    3x = 3000
    x = 1000
    sum = 6x + 5x = 11 * 1000 = 11000

     

  7. There are total of 300 employees in a company. The ratio of male employees to female employees are 8 : 7. How many female employees have to be recruited so that the ratio
    becomes male and female is equal ?
    40
    80
    25
    62
    20
    Option E
    Number of male = 300 * 8/15 = 160
    number of female = 300 * 7/15 = 140
    let ‘x’ number of female we added
    160 = 140 + x
    x = 20

     

  8. If the numerator is increased by 20 % and the denominator is decreased by 20% so that fraction becomes 2 : 3. What is the original fraction ?
    2/5
    5/9
    4/9
    2/3
    4/11
    Option C
    Let the numerator and denominator be x and y respectively
    (x * 120/100) / (y * 80/100) = 2/3
    (6x/5) /(4y/5) = 2/3
    6x / 4y = 2/3
    18x = 8y
    x/y = 8 /18 = 4/9

     

  9. Total number of workers worked in a company is 50 and the ratio of male workers to female workers is 3 : 2. The ratio of amount of wages received by a male and a female worker is 7 : 6. If the wages received by each female workers is rs.120, then how much total wages received by all male workers ?
    3800
    3200
    4500
    4200
    6500
    Option D
    Total workers = 50
    male workers = 50 * 3/5 = 30
    female workers = 50 * 2/5 = 20
    wages received by a female workers = 120
    wages received by a male workers = 120/6 *7 = 140
    total wages received by all male workers = 140 * 30 = 4200

     

  10. Three friends A , B and C got a total prize money is rs.2149. If B got 15% more A and C got 20% less than B, then find the how much amount of money C get ?
    520
    644
    440
    634
    460
    Option B
    Total prize money = 2149
    let A got = 100x
    B got = 100x * 115/100 = 115x
    C got = 115x * 80/100 = 92x
    total = 100x + 115x + 92x = 307x
    amount of money C got = 2149/307x * 92x = 644

     

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