Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20kg of fresh grapes?

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2 kg

2.4 kg

2.5 kg

3 kg

answer is C.

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Detailed Solution

Concep- We find the weight of grapes in 20 kg of fresh grapes, then solve the equation to find the weight of dried grapes. Finally, we will determine the value of

in order to calculate the weight of dried grapes.
According to the question, fresh grapes contain 90% water and dried grapes contain 20% water. In addition, we were told that the total weight of fresh grapes is 20kg. Now we must calculate the weight of dried grapes after drying this 20kg fresh grape.
Now, we now know that in fresh grapes,

is the weight of water, and the rest

is the weight of actual grapes.
So, the actual weight of grapes excluding the water content will be

.
Now, we have only

of actual grapes and the rest

is the water content.
It is also known that dried grapes contain

water, so the remaining

will be the actual grapes.
So, when these

grapes are converted into dried grapes, then we get

.
When cross multiplying, we get

Therefore, the total weight of dried grapes is

.
Hence, the correct answer is option 3.

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