|
|
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.
03 Apr 2020, 06:07
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
51% (03:11) correct
49%
(03:06)
wrong
based on 193
sessions
History
Date
Time
Result
Not Attempted Yet
Two types of tea, A and B, are mixed and then sold at $40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio
A. 21 : 25
B. 19 : 24
C. 18 : 25
D. 17 : 25
E. 13 : 25
Are You Up For the Challenge: 700 Level Questions
A. 21 : 25
B. 19 : 24
C. 18 : 25
D. 17 : 25
E. 13 : 25
Are You Up For the Challenge: 700 Level Questions
03 Apr 2020, 09:40
Kudos
Bookmarks
Bunuel
Let the Cost price of tea A & B be '\(a\)' & '\(b\)' respectively
The profit is 10% if A and B are mixed in the ratio 3 : 2
--> Fraction of tea A & B = \(\frac{3a}{5}\) & \(\frac{2b}{5}\)
Also, SP = 110% of CP
--> \(40 = \frac{110}{100}*\frac{(3a + 2b)}{5}\) ....... (1)
The profit is 5% if A and B are mixed in the ratio 2 : 3
--> Fraction of tea A & B = \(\frac{2a}{5}\) & \(\frac{3b}{5}\)
SP = 105% of CP
--> \(40 = \frac{105}{100}*\frac{(2a + 3b)}{5}\) ....... (2)
From (1) & (2),
\(\frac{110}{100}*\frac{(3a + 2b)}{5} = \frac{105}{100}*\frac{(2a + 3b)}{5}\)
--> \(110(3a + 2b) = 105(2a + 3b)\)
--> \(22(3a + 2b) = 21(2a + 3b)\)
--> \(66a + 44b = 42a + 63b\)
--> \(24a = 19b\)
-->\(\frac{a}{b} = \frac{19}{24}\)
Option B
General Discussion
03 Apr 2020, 14:36
Kudos
Bookmarks
The selling price of the mixture is Rs. 40/kg.
Let a be the quantity of tea A in the mixture and b be the quantity of tea B in the mixture.
The profit is 10% if the two varieties are mixed in the ratio 3 : 2.
Let the cost price of the mixture be x.
So, 1.1x = 40
x = 40/1.1
(3a + 2b)/5 = 40/1.1
3.3a + 2.2b = 200
The profit is 5% if the two varieties are mixed in the ratio 2 : 3.
(2a + 3b)/5 = 40/1.05
2.1a + 3.15b = 200
Equating both the equations, we get
3.3a + 2.2b = 2.1a + 3.15b
1.2a = 0.95b
a/b = 0.95/1.2
a/b = 19/24
The correct option is B.
Let a be the quantity of tea A in the mixture and b be the quantity of tea B in the mixture.
The profit is 10% if the two varieties are mixed in the ratio 3 : 2.
Let the cost price of the mixture be x.
So, 1.1x = 40
x = 40/1.1
(3a + 2b)/5 = 40/1.1
3.3a + 2.2b = 200
The profit is 5% if the two varieties are mixed in the ratio 2 : 3.
(2a + 3b)/5 = 40/1.05
2.1a + 3.15b = 200
Equating both the equations, we get
3.3a + 2.2b = 2.1a + 3.15b
1.2a = 0.95b
a/b = 0.95/1.2
a/b = 19/24
The correct option is B.
