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02 Jul 2025, 08:00
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D
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Difficulty:
55%
(hard)
Question Stats:
68% (01:46) correct
32%
(01:59)
wrong
based on 536
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A saline solution is 2% salt by weight, with the rest being water. After more water is added, the salt concentration decreases to 1% by weight. What is the ratio of the final weight of water to the initial weight of water in the solution?
A. 1:2
B. 50:49
C. 2:1
D. 99:49
E. 100:49
A. 1:2
B. 50:49
C. 2:1
D. 99:49
E. 100:49
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02 Jul 2025, 08:30
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Bunuel
GMAT Club Official Explanation:
Assuming the initial weight of the solution was 100 kg, the amount of salt would be 2% of 100 kg = 2 kg. After some water is added, the amount of salt remains the same. If x kg of water is added, then 2 kg of salt becomes 1% of (100 + x) kg. So:
2 = 1/100 * (100 + x)
x = 100
Thus, the initial amount of water was 98 kg, and the final amount is 98 + 100 = 198 kg.
The required ratio is 198:98 = 99:49
Answer: D.
General Discussion
02 Jul 2025, 08:06
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Information given:
- Initial solution: 2% salt, 98% water
- After adding water, 1% salt, 99% water
Question:
- Find ratio of final water weight to initial water weight
Solution:
- Pick an easy number: assume initial solution is 100 units (as an example, feel free to use a different number)
- It then follows that salt = 2 units, water = 98 units
- After adding water, salt drops to 1%, so therefore total solution must be 200 units (2/200 = 1%)
- New water = New total - Salt
- Net water = 200 - 2 = 198
- Ratio will be Final water : initial water = 198 : 98 = 99:49
Answer: D, 99:49
- Initial solution: 2% salt, 98% water
- After adding water, 1% salt, 99% water
Question:
- Find ratio of final water weight to initial water weight
Solution:
- Pick an easy number: assume initial solution is 100 units (as an example, feel free to use a different number)
- It then follows that salt = 2 units, water = 98 units
- After adding water, salt drops to 1%, so therefore total solution must be 200 units (2/200 = 1%)
- New water = New total - Salt
- Net water = 200 - 2 = 198
- Ratio will be Final water : initial water = 198 : 98 = 99:49
Answer: D, 99:49
Bunuel
