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The Cucumber

Puzzle:

On a sunny morning, a greengrocer places 200 kilograms of cucumbers in cases in front of his shop. At that moment, the cucumbers are 99% water. In the afternoon, it turns out that it is the hottest day of the year, and as a result, the cucumbers dry out a little bit. At the end of the day, the greengrocer has not sold a single cucumber, and the cucumbers are only 98% water. How many kilograms of cucumbers has the greengrocer left at the end of the day?

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Solution:

The greengrocer has 100 kilograms of cucumbers left at the end of the day.

In the morning, the 200 kilograms of cucumbers are 99% water. So the non-water part of the cucumbers has a mass of 2 kilograms. At the end of the day, the cucumbers are 98% water. The remaining 2% is still the 2 kilograms of non-water material (which does not change when the water evaporates). If 2% equals 2 kilograms, then 100% equals 100 kilograms. So, the greengrocer has 100 kilograms of cucumbers left at the end of the day.

26 comments:

Anonymous said...

100kilograms..................rajesh

prashant said...

100 kgs
coz the wt of non-water remains const.

Anonymous said...

197

mady said...
This comment has been removed by the author.
mady said...

100 Kg

Initially out of 200Kg
water 99% = 198Kg
solid mass 1% = 2Kg

Now some water dries out but the solid mass remains constant and it constitutes 2% of the entire weight(given 98% water remaining)
Let the total weight be x

now 2/x * 100 = 2%
=> x = 100Kg

Amber said...

100 Kg

pg... said...

100kg

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