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Rajan@2021
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Guru

A man purchased 47 stamps of 20p and 25p for ₹10. Find the number of each type of stamps.

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This question is taken from linear equations in two variables in which we have to find the number of different stamps if total cost of 2 different 20p and 25p stamps is ₹47.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3F, question no 11

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1 Answer

  1. Let the number of stamps of 20p and 25p be x and y respectively.  Then as per the question

    x + y = 47 …….(i)

    0.20x + 0.25y = 10

    4x + 5y = 200 …….(ii)

    From (i), we get

    y = 47 – x

    Now, substituting y = 47 – x in (ii), we have

    4x + 5(47 – x) = 200

    ⇒ 4x – 5x + 235 = 200

    ⇒ x = 235 – 200 = 35

    Putting x = 35 in (i), we get

    35 + y = 47

    ⇒ y = 47 – 35 = 12

    Hence, the number of 20p stamps and 25p stamps are 35 and 12 respectively

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