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Can You Solve This Math Problem

Can You Solve This Math Problem - 12 October

A rain drop fell from one leaf to another leaf and lost 1/4th of its volume. It then fell to another leaf and lost 1/5th of the volume. It again fell on another leaf and lost 1/5th of the volume.

This process kept repeating till it fell on the last leaf losing 1/75th of its volume.

Can you calculate the total percentage of loss from the initial volume when the drop has fallen to the last leaf accurate up to two decimal places?
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4 comments:

  1. Replies
    1. Hi. Please check your answer. Because in the first drop itself, 25% of the volume is lost.

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  2. 96% of water is lost. Total water remaining = (3/4)*(4/5)*(5/6)*....(74/75) = (3/75)=(1/25). The water lost is 24/25 = 96%.

    Also note that there is an error in your question: when the water falls on the 3rd leaf, you probably mean to say it lost 1/6 of it's value, not 1/5. Otherwise, I don't see an obvious pattern.

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    Replies
    1. Awesome answer. Totally agree about the typo in the question.

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