Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 7)
7.
How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
Answer: Option
Explanation:
S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.
 C.P. of 1 kg of mixture = Rs. |
 |
100 | x 9.24 |  |
= Rs. 8.40 |
| 110 |
By the rule of allilation, we have:
| C.P. of 1 kg sugar of 1st kind Cost of 1 kg sugar of 2nd kind | ||
| Rs. 9 | Mean Price Rs. 8.40 | Rs. 7 |
| 1.40 | 0.60 | |
Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27
 x = |
|
7 x 27 | |
= 63 kg. |
| 3 |
Discussion:
41 comments Page 2 of 5.
HARI said:
1 decade ago
Let the the quantity of 9 per kg sugar be X.
CP = (X*9)+(27*7) = 9X+189
SP = 9.24*(X+27)
GAIN%=(PROFIT/CP)*100
ie ((SP-CP)/CP)*100 = 10
SUBSTITUTE THE VALUES IN ABOVE EQN AND SOLVE FOR X
i.e. X = 63.
CP = (X*9)+(27*7) = 9X+189
SP = 9.24*(X+27)
GAIN%=(PROFIT/CP)*100
ie ((SP-CP)/CP)*100 = 10
SUBSTITUTE THE VALUES IN ABOVE EQN AND SOLVE FOR X
i.e. X = 63.
Shona said:
8 years ago
How 1st kind of sugar is taken as cheaper i.e. Rs. 9 and 2nd kind of sugar is taken dearer which is just of Rs. 7?
I could not understand how you are initiating the allegation formula.
Please help!
I could not understand how you are initiating the allegation formula.
Please help!
Thakursaab said:
9 years ago
Let x kg of sugar is mixed with 27kg of sugar.
CP of mixture = x * 9 + 27 * 7,
SP of mixture = (x+27) * 9.24,
Now gain pecentage = ((sp-cp)/cp) * 100,
Put the values ,you will get the answer.
CP of mixture = x * 9 + 27 * 7,
SP of mixture = (x+27) * 9.24,
Now gain pecentage = ((sp-cp)/cp) * 100,
Put the values ,you will get the answer.
(1)
Barlen said:
8 years ago
Please help me as per the rule of alligation it's mentioned the cheap item or lower item will be on right-hand side in this question, why is the high value placed on the right-hand side.
(1)
Pushpa said:
1 decade ago
According to rule of allegation the C.P of cheaper qty is kept on the left side and dearer one on the right side but I could see it in other in the solution provided please explain.
Apoorvuptaa g said:
8 years ago
Please explain. According to rule of allegation the C.P of cheaper qty is kept on the left side and dearer one on the right side but I could see it in other in the solution provided
(1)
Abhinav said:
6 years ago
According to rule of alligation cheaper should be on the left and the expensive one of the right but why 9 is on the left when it is expensive? Please tell me.
(3)
Kjkj tikhir said:
1 decade ago
Seriously, this type of question must be for 20 marks question.
Very lengthy answers. But very much appreciated to @Vikatakavee even I didn't cope it.
Very lengthy answers. But very much appreciated to @Vikatakavee even I didn't cope it.
Amit said:
2 decades ago
its simple
(quantity of cheaper/quantity of dearer=cp of dearer-mean price)/(cp of cheaper/cp of mean).
So 27/x=0.6/1.4
x=63.....
So simple
(quantity of cheaper/quantity of dearer=cp of dearer-mean price)/(cp of cheaper/cp of mean).
So 27/x=0.6/1.4
x=63.....
So simple
Sivaram said:
2 decades ago
Hi Friends,
I can't understand why we take x to b mixed with 27kg of sugar (last step).
Please some one help me out. Thank you.
I can't understand why we take x to b mixed with 27kg of sugar (last step).
Please some one help me out. Thank you.
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