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10 Dec 2020, 10:00
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C
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:
69% (02:49) correct
31%
(02:56)
wrong
based on 308
sessions
History
Date
Time
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Not Attempted Yet
A merchant mixes three varieties of rice costing $20/kg, $24/kg and $30/kg and sells the mixture at a profit of 20% at $30/kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?
A. 1 kg
B. 3 kgs
C. 5 kgs
D. 6 kgs
E. 7 kgs
A. 1 kg
B. 3 kgs
C. 5 kgs
D. 6 kgs
E. 7 kgs
12 Dec 2020, 02:23
Kudos
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SOLUTION:
A=20$kg, B=24$kg ,C =30$kg
Let x kg be rice A ,y kg be rice B and 2 kg be quantities of rice C
Final CP = 25
Equating the Cost Prices we have-
20x+24y+60=25(x+y+2)
=>y=10−5x
Since, y cannot be zero or negative and for any value of x above 1 we have 0 or negative y
x can only be 1 giving y=5 kg (OPTION C)
Hope this helps
Devmitra Sen(Math)
A=20$kg, B=24$kg ,C =30$kg
Let x kg be rice A ,y kg be rice B and 2 kg be quantities of rice C
Final CP = 25
Equating the Cost Prices we have-
20x+24y+60=25(x+y+2)
=>y=10−5x
Since, y cannot be zero or negative and for any value of x above 1 we have 0 or negative y
x can only be 1 giving y=5 kg (OPTION C)
Hope this helps
Devmitra Sen(Math)
General Discussion
10 Dec 2020, 11:30
Kudos
Bookmarks
Given: A merchant mixes three varieties of rice costing $20/kg, $24/kg and $30/kg and sells the mixture at a profit of 20% at $30/kg.
Asked: How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?
Cost price of the mixture = $30/1.2 = $25/kg
If we take 2kgs of third variety and 2 kgs of first variety
Cost price of the mixture = (20*2 + 30*2)/(2+2) = 100/4 = $25/kg
There is no need to have second variety rice in the mixture.
Bunuel
The question needs some correction.
A. 1 kg
B. 3 kgs
C. 5 kgs
D. 6 kgs
E. 7 kgs
Asked: How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?
Cost price of the mixture = $30/1.2 = $25/kg
If we take 2kgs of third variety and 2 kgs of first variety
Cost price of the mixture = (20*2 + 30*2)/(2+2) = 100/4 = $25/kg
There is no need to have second variety rice in the mixture.
Bunuel
The question needs some correction.
A. 1 kg
B. 3 kgs
C. 5 kgs
D. 6 kgs
E. 7 kgs
