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The organizers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win, gets a prize of ₹25. The total prize money distributed is ₹3,000. Find the number of participants is 63.

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NCERT Solutions for Class 8 Mathematics Chapter 2
Important NCERT Questions
Linear Equations in one Variable Chapter 2 Exercise 2.2
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 16

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1 Answer

  1. Total sum of money = ₹3000
    Let the number of winners of ₹100 be x.
    And those who are not winners = 63-x
    According to the question, 100Xx+25X(63-x)=3000
    ⇒ 100x+1575-25x=3000
    ⇒ 75x+1575=3000
    ⇒ 7x+1575-1575=3000-1575 [Subtracting 1575 from both sides]
    ⇒ 7x-1425
    ⇒ 7x/7=1425/7 [Dividing both sides by 7]
    ⇒ x=19

    Hence the number of winner is 19.

    Class 8 Maths Chapter 2 Exercise 2.2 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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