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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

    When a ratio P : Q is expressed in its lowest form, HCF of P and Q is

    Solution

    When a ratio P : Q is expressed in its lowest form, P and Q are called co-primes and their HCF is 1.

    For example - 2 : 3

    Here, HCF of 2 and 3 is 1.

     

  • Question 2
    1 / -0

    Two quantities which are compared as a ratio must have the same _________.

    Solution

    In order to find the ratio of two quantities, both quantities must be expressed in the same units.

    Example: Ratio between 30 cm and 2 metres = 30 cm : 200 cm [Since, 2 metres = 200 cm] = 3 : 20

     

  • Question 3
    1 / -0

    In the word 'ANTIBODY', what is the ratio of number of vowels to number of consonants?

    Solution

    Number of vowels = 3 (A, I, O)
    Number of consonants = 5 (N, T, B, D, Y)
    Ratio = 3 : 5

     

  • Question 4
    1 / -0

    In a group of 40 people, 8 people have apple as their favourite fruit, 17 people have orange as their favourite fruit and the remaining people have grapes as their favourite fruit. What is the ratio of number of people who have grapes as favourite fruit to the total number of people?

    Solution

    Total number of people = 40

    Number of people who like grapes = Total people - Number of people who like apple - Number of people who like orange

    = 40 - 8 - 17 =15

    Required ratio = 15 : 40

    = 3 : 8

     

  • Question 5
    1 / -0

    The cost of a pizza is Rs. 80 and the cost of a burger is Rs. 40. Find the ratio of costs of 2 burgers and 3 pizzas.

    Solution

    Cost of 1 burger = Rs. 40

    Cost of 2 burgers = 2 × 40 = Rs. 80

    Cost of 1 pizza = Rs. 80

    Cost of 3 pizzas = 3 × 80 = Rs. 240

    Ratio = 80 : 240 = 1 : 3

     

  • Question 6
    1 / -0

    In a college consisting of 800 students, 525 of them are male students. Find the ratio of female students to the total number of students.

    Solution

    Total students = 800

    Male students = 525

    Female students = 800 - 525 = 275

    Required ratio = 275 : 800

    = 11:32.

     

  • Question 7
    1 / -0

    In a shop, ratio of prices of books to pencils is 7 : 1. If a student bought 3 books, and had to pay a total of Rs. 210. How much money would he have to pay for 5 pencils?

    Solution

    Ratio of prices of books to pencils = 7 : 1.

    Let price of one book be 7 x and one pencil be x

    He bought 3 books so total cost 21 x.

    According to the question,

    21 x = 210.

    x = 10.

    Price of one pencil = Rs. 10

    So, price of 5 pencils = Rs. 50

     

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