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    Question

    A village lost 20% of its cattle in a flood, 20% of

    remaining died due to diseases and 20% of the rest were disabled. If the number left now is 9600. What was the original number before the flood?
    A 19800 Correct Answer Incorrect Answer
    B 18750 Correct Answer Incorrect Answer
    C 22500 Correct Answer Incorrect Answer
    D 21000 Correct Answer Incorrect Answer
    E 25500 Correct Answer Incorrect Answer

    Solution

    20% = 1/5 Let the total number of cattle be 5×5×5 = 125 Given 64 units = 9600 1 unit = 150 So 125 unit = 125 × 150 = 18750 Alternate METHOD : 20% = 1/5 TOTAL REMAINING 5 → 4 (Died due to flood) 5 → 4 (died due to diseases) 5 → 4 (disabled) Total 125 → 64 Hence 64 units = 9600 1 unit = 150 So 125 unit = 150 × 125 = 18750

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