Quiz: Percentage

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Number of Questions: 44

Question: 31 -

A man’s basic pay for a 40 hour week is Rs. 20 overtime is paid for at 25 % above the basic rate, in a certain week he worked overtime and his total wage was Rs. 25. He therefore worked for a total of: 

Options:
  1. 45 hours

  2. 47 hours

  3. 48 hours

  4. 50 hours

  5. Answer:

    48 hours

    Solution:

    Basic rate per hour = Re. (20/40) = Re. 1/2. 
    Overtime per hour = 125 % of Re. 1/2 = Re.5/8. 
    He worked x hours overtime. 
    Then 20 + 5/8 x = 25 (or) = 5/8 x = 5 
    X = 40/5 = 8 hours 
    => he worked in all for (40 + 8) = 48 hours. 


Question: 32 -

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

Options:
  1. 30

  2. 50

  3. 40

  4. 20

  5. Answer:

    40

    Solution:

    Fruit % in fresh fruit = Fruit% in dry fruit 
    Therefore, (32/100) x 100 = (80/100 ) x y 
    we get, y = 40 kg.


Question: 33 -

What percent decrease in salaries would exactly cancel out the 20 percent increase ?

Options:
  1. (14 +1/3)%

  2. (13 + 4/5)%

  3. (15 + 2/3)% 

  4. (16 + 2/3) % 

  5. Answer:

    (16 + 2/3) % 

    Solution:

    Let the original salary = Rs. 100. New's salary = Rs.120.
    Decrease on 120 = 20. Decrease on 100 = [(20/120)*100]% = (16 + 2/3) %.


Question: 34 -

If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by

Options:
  1. 25

  2. 15

  3. 20

  4. 30

  5. Answer:

    20

    Solution:

    original consumption = 100 kg and new consumption = x kg, 
    So, 100 * 6 = x * 7.50 => x = 80kg 
    Reduction in consumption = 20%.


Question: 35 -

An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth

Options:
  1. 500

  2. 700

  3. 900

  4. 300

  5. Answer:

    500

    Solution:

    Let the total sale be Rs. x.
    Then, 2.5%. of x = 12.50
    => (25/100 * 1/100 * x) =  125/10
    => x = 500.