MathsRatio and ProportionsRatiosExamples of Ratio – Part 1

Examples of Ratio – Part 1

Table of Contents

  • Problem 1
  • Problem 2
  • What’s Next?

In the previous segment of Class 6 Maths, we learnt about comparing two quantities and two ratios. Here, let us have a look at some problems on ratio.

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    Problem 1

    Two numbers are in the ratio 3 : 7. If their sum is 710, find the numbers. Solution:

    The two numbers are in the ratio 3 : 7.

    Let ‘x’ be the common multiple. So, the two numbers are 3x and 7x.

    According to the given condition, the sum of the two numbers is 710.

    ∴ 3x + 7x = 710

    ∴ 10x = 710

    ∴ x = 710

    10

    ∴ x = 71

    Hence,

    the first number is 3x = 3 x 71 = 211 the second number is 7x = 7 x 71 = 497

    Problem 2

    ₹80 are to be divided between Anil and Mohan in ratio 5 : 11. How much money does each get?

    Solution:

    ₹ 80 are to be divided between Anil and Mohan in ratio 5 : 11.

    Let the common multiple be ‘x’. So, Anil will get ₹ 5x and Mohan will get ₹ 11x.

    Now, 5x + 11x = 80

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