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:
40 comments Page 2 of 4.
Rangpur Road said:
6 years ago
(9x+27*7) =9.24(x+27)10/11.
By calculation x = 63.
By calculation x = 63.
(1)
S.M. Atik said:
6 years ago
Here, gain of 10% by selling the mixture at 9.24 per kg. So, the cost price per kg in mixture, x+ 10% of x= 9.24,
so, x= 8.4.
Let, x kg of sugar costing 9 per kg mixed in the mixture.
So, 9*x+7*27 = 8.4(x+27),
so, x= 63.
so, x= 8.4.
Let, x kg of sugar costing 9 per kg mixed in the mixture.
So, 9*x+7*27 = 8.4(x+27),
so, x= 63.
(4)
Pernisha said:
7 years ago
I can't understand please help me.
(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)
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)
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:
8 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)
Ajay said:
9 years ago
I can't be getting this. Can anyone explain me in short and sweet plz?
(or).
Any short cut method for this type of questions?
(or).
Any short cut method for this type of questions?
Naimul Samad said:
9 years ago
(x * 9 + 27 * 7) * 110/100 = (x + 27) 9.24.
So, x = 63.
So, x = 63.
Dinesh kumar said:
9 years ago
How is the ratio of 9:7 dropped down to 7:3?
Could someone please explain?
Could someone please explain?
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