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The organiser of an essay competition …

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The organiser 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 winners ,if the total number of participants is 63 ......

    • Posted by Ishika Goel 5 years, 4 months ago

    CBSE > Class 08 > Mathematics
    • 2 answers

    Ishika Goel 5 years, 4 months ago

    Thank u

    1Thank You

    Gaurav Seth 5 years, 4 months ago

    Let the number of winners =x
     

    ∴  Number of participants who are not winners = (63 - x)
     

    ∴  Prize money given to:                Winners = xRs 100 = Rs 100 x

                     Non-winner participants = Rs 25  (63-x)

                                                    = Rs 25 63 - Rs 25x

                                                     = Rs 1575 - Rs 25x

    According to the condition, we have

                                    100x + 1575 - 25x = 3000

    or                                          75x = 3000 - 1575       [Transposing 1575 to RHS]

    or                                           75x = 1425

    or                                              x = 1425 75 = 19

        Thus, the number of winners = 19

    1Thank You

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