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Ratio And Proportion Test-2

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Ratio And Proportion Test-2
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  • Question 1
    1 / -0.25

    The average age of a person and his son is 30 years. The ratio of their age is 4 : 1 respectively. Find the age of son.

    Solution

    The correct option is A.
    Let ,father 's age=Y years
    and,son 's age=X years
    Acc. to question, there average is 30
    therefore,
    =>(X + Y) / 2 = 30
    =>X + Y = 60
    =>X + 4X = 60 (RATIO IS 4:1)
    =>5X = 60
    =>X = 12

  • Question 2
    1 / -0.25

    If Rs. 782 be divided into three parts, proportional to  1/2 = 2/3 = 3/4  then the first part is:

    Solution

  • Question 3
    1 / -0.25

    A bag contains one rupee, 50 paise 25 paisa coins in the Ratio of 8:9:11. If the total money in the bag is Rs. 366, find the number of 25 paisa coins.

    Solution

    Let coins are
    1 ruppe coin = 8X.
    Value of 1 ruppe coin = 8X.
    50 paise coins = 9X
    Value of 50 paise coin = 9X/2
    25 paise coins = 11X
    Value of 25 paise coins = 11X/4.
    Total Ruppes = 366
    8X + 9X/2 + 11X/4 = 366
    61X/4 = 366
    61X = 1464
    X = 24.
    Number of 25p paise coin = 11X = 11* 24 = 264.

  • Question 4
    1 / -0.25

    A mixture contains alcohol and water in the ratio of 4 : 3. If 14 L of water is added to the mixture the ratio of Alcohol and water becomes 3 : 4, find the quantity of alcohol in the mixture.

  • Question 5
    1 / -0.25

    Rahul obtained 12 marks more than that of Tanvi. If the ratio of their marks is 4:3. Find the sum of their marks.

  • Question 6
    1 / -0.25

    One half of a certain number is equal to 65% of the second number. Find the ratio of Ist number to 2nd number.

  • Question 7
    1 / -0.25

    If  , then find the value of  

    Solution

    The correct option is C.
    a/3 = b/5 = c/7 = p
    a = 3p
    b = 5p
    c = 7p
    =>a+b+c/b =>3p+5p+7p/5p =>15p/5p
    =>3/1  
    The answer is 3  

  • Question 8
    1 / -0.25

    Monthly income of P and Q are in the ratio 2 : 3 and their monthly expenses are in the ratio of 5 : 9. If each of them saves Rs 300 per month, find their respective monthly income

  • Question 9
    1 / -0.25

    What number has to be added to each term of 3 : 5 to make the ratio 5 : 6?

    Solution

    The correct option is D.
    Let the no be x
    Implies
    3+x/5+x=5/6
    Implies 6(3+x)=5(5+x)
    18+6x=25+5x
    6x-5x=25-18
    Implies x=7
    7 should be added
    Proof-
    3+7/5+7=10/12=5/6

  • Question 10
    1 / -0.25

    The ratio between two numbers is 3 : 4. If each number is increased by 3, the ratio becomes 4 : 5. Find the difference between the numbers.

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