|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
05 Jun 2018, 10:31
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:16) correct
33%
(02:21)
wrong
based on 318
sessions
History
Date
Time
Result
Not Attempted Yet
Between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first declined by 20 percent and then increased by 50 percent. During this same period, the price per liter of Blue, a spring water, first increased by 20 percent and then declined by 50 percent. If at the end of June, the prices were the same, then, at the beginning of May, the price per kilogram for Blue was what percent of the price per liter of Melange?
A. 2
B. 30
C. 50
D. 100
E. 200
A. 2
B. 30
C. 50
D. 100
E. 200
05 Jun 2018, 10:50
Kudos
Bookmarks
Solution
Given:
- • The price of Melange first declined by 20% and then increased by 50%
• The price of Blue water first increased by 20% and then declined by 50%
• At the end, both the prices are same
To find:
- • At the beginning, price of Blue water was what percent of the price of Melange
Approach and Working:
Assuming the initial price of Melange and Blue water was m and b respectively
- • Price of Melange after two changes = m * 0.8 * 1.5 = 1.2 m
• Price of Blue water after two changes = b * 1.2 * 0.5 = 0.6 b
Given that, the end prices were same. Therefore,
- • 1.2 m = 0.6 b
Or, \(\frac{b}{m} = \frac{1.2}{0.6} = 2\)
Or, \(\frac{b}{m} * 100 = 2 * 100 = 200%\)
Hence, the correct answer is option E.
Answer: E
27 Nov 2018, 22:58
Kudos
Bookmarks
Hi All,
We're told that a between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first DECLINED by 20 percent and then INCREASED by 50 percent and during this same period, the price per liter of Blue, a spring water, first INCREASED by 20 percent and then DECLINED by 50 percent. We're also told that at the end of June, the prices were the SAME. We're asked, at the beginning of May, the price per kilogram for Blue was what percent of the price per liter of Melange. This question can be solved in a couple of different ways, including by TESTing VALUES and a bit of Arithmetic.
IF... in May...
1 kg of Melange = $100
the 20% decline in price --> $100 - (.2)($100) = 100 - 20 = $80
the 50% increase in price --> $80 + (.5)($80) = 80 + 40 = $120
Using this final price of $120, we can 'work backwards' to figure out the price of Blue in May
Final price of Blue = $120
the 50% decline in price to END at $120 --> (.5)(X) = $120 --> X = $240
the 20% increase to get to $240 --> (1.2Y) = $240 --> Y = $200
In May, the price of 1 kg of Melange = $100 and the price of 1 liter of Blue = $200
200/100 = 2 = 200% the price
Final Answer:
GMAT assassins aren't born, they're made,
Rich
We're told that a between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first DECLINED by 20 percent and then INCREASED by 50 percent and during this same period, the price per liter of Blue, a spring water, first INCREASED by 20 percent and then DECLINED by 50 percent. We're also told that at the end of June, the prices were the SAME. We're asked, at the beginning of May, the price per kilogram for Blue was what percent of the price per liter of Melange. This question can be solved in a couple of different ways, including by TESTing VALUES and a bit of Arithmetic.
IF... in May...
1 kg of Melange = $100
the 20% decline in price --> $100 - (.2)($100) = 100 - 20 = $80
the 50% increase in price --> $80 + (.5)($80) = 80 + 40 = $120
Using this final price of $120, we can 'work backwards' to figure out the price of Blue in May
Final price of Blue = $120
the 50% decline in price to END at $120 --> (.5)(X) = $120 --> X = $240
the 20% increase to get to $240 --> (1.2Y) = $240 --> Y = $200
In May, the price of 1 kg of Melange = $100 and the price of 1 liter of Blue = $200
200/100 = 2 = 200% the price
Final Answer:
GMAT assassins aren't born, they're made,
Rich
