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    Question

    A number is first increased by 35% and then decreased by

    35%. If the net change in the number is 302.5, then find the original number.
    A 3200 Correct Answer Incorrect Answer
    B 2050 Correct Answer Incorrect Answer
    C 2469 Correct Answer Incorrect Answer
    D 3320 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the original number be '100a'. Final number = 100a x (135/100) x (65/100) = '87.75a' Net decrease = 100a - 87.75a = '12.25a' Or, 12.25a = 302.5 Or, 'a' = 302.5 / 12.25 = 24.69 Therefore, required number = 100a = 24.69 x 100 = 2469

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