# After how many times of pouring will the remaining water be exactly 1/10 of original amount of water?

+1 vote
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Ali poured out 1/2 of the water in a jar. In the second pouring, he poured out 1/3 of the remaining water. In the third pouring, he poured out 1/4 of the remaining water. In the fourth pouring, he poured out 1/5 of the remaining water and so on. After how many times of pouring will the remaining water be exactly 1/10 of original amount of water?

posted Aug 8, 2017

9
A*1/2*2/3*3/4*.....*9/10=A/10
After the 9th pouring the remaining water will be exactly 1/10 of original amount of water.

+1 vote

After 9 pourings the jar contains only 1/10 of the original content.
.
After each pouring the jar contains 1/( # pourings + 1) of the original content.
So after the 1st pouring the jar contains 1/2 of the original content.
After the 2nd pouring the jar contains 1/3 of the original content.
...
After the 9th pouring the jar contains 1/10 of the original content.

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