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Question: Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
- 2 kg
- 2.4 kg
- 2.5 kg
- 10 kg
- None of these
Approach Solution (1)
90% of the weight of fresh grapes is water, so 10% is not water
10% * 20 kg = 2 kg of totally waterless grapes
Dried grapes contain 20% water
So, 80% of the weight of dried grapes is not water
80% * Dried grape weight = 2 kg
So, Dried grape weight = 2kg / 80% = (2 * 100) / 80 = 2.5 kg
10% * 20 kg = 2 kg of totally waterless grapes
Dried grapes contain 20% water
So, 80% of the weight of dried grapes is not water
80% * Dried grape weight = 2 kg
So, Dried grape weight = 2kg / 80% = (2 * 100) / 80 = 2.5 kg
Correct option: C
Approach Solution (2)
Let the weight of dry grapes obtained from 20 kg of fresh grapes is Y kg
According to the question,
The quantity of water in 20 kg of fresh grapes is:
20 * 90% = (20 * 90) / 100 = 18 kg
The remaining weight of 20 kg of fresh grapes is:
20 - 18 = 2 kg
Now, 2 kg of weight is equal to 80% of dry grapes, then
Y * 80% = 2
Y * 80/100 = 2
Y = (2 * 100) / 80 = 2.5 kg
According to the question,
The quantity of water in 20 kg of fresh grapes is:
20 * 90% = (20 * 90) / 100 = 18 kg
The remaining weight of 20 kg of fresh grapes is:
20 - 18 = 2 kg
Now, 2 kg of weight is equal to 80% of dry grapes, then
Y * 80% = 2
Y * 80/100 = 2
Y = (2 * 100) / 80 = 2.5 kg
Correct option: C
Approach Solution (3)
From the question we know: 20kg * 90% = 18 kg of water in the fresh grapes
20 kg - 18 kg of water = 2 kg of non-water mass
We are looking for the weight of the dry grapes (X).
Since the question tells us that 20% of the weight of the dry graps is water and we know that 2kg is non-water mass we can set up the following equation:
X = 1/5(X) + 2kg
4/5(X) = 2kg
X = 5/2 or 2.5 kg
20 kg - 18 kg of water = 2 kg of non-water mass
We are looking for the weight of the dry grapes (X).
Since the question tells us that 20% of the weight of the dry graps is water and we know that 2kg is non-water mass we can set up the following equation:
X = 1/5(X) + 2kg
4/5(X) = 2kg
X = 5/2 or 2.5 kg
Correct option: C
“Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. “ - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “The Official Guide for GMAT Reviews”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge
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