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.
Pernisha said:
7 years ago
I can't understand please help me.
(1)
Rangpur Road said:
7 years ago
(9x+27*7) =9.24(x+27)10/11.
By calculation x = 63.
By calculation x = 63.
(1)
Vikatakavee said:
1 decade ago
Unit C.P : Qty : Total Amount
Item 1. : 9 : x : 9x
Item 2. : 7 : 27 : 189
Mixture : 8.4 : x+27 : 8.4(x+27)
---> 9x+189 = 8.4x + 226.8.
---> 0.6 x = 37.8.
---> x = 63.
Item 1. : 9 : x : 9x
Item 2. : 7 : 27 : 189
Mixture : 8.4 : x+27 : 8.4(x+27)
---> 9x+189 = 8.4x + 226.8.
---> 0.6 x = 37.8.
---> x = 63.
(1)
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)
Simran Mehta said:
5 years ago
@Jeyari.
By reducing it.
14:6- dividing both by 2 which gives 7:3.
By reducing it.
14:6- dividing both by 2 which gives 7:3.
(1)
Sushant said:
3 years ago
9.24 is sp with 10% profit.
Calculate cp with profit per cent formula;
Then, we get 8.4 cp.
Calculate cp with profit per cent formula;
Then, we get 8.4 cp.
(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!
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?
Dinesh kumar said:
10 years ago
How is the ratio of 9:7 dropped down to 7:3?
Could someone please explain?
Could someone please explain?
Andy said:
6 years ago
First get the mean or the cost price 9.24*110/110 = 8.4.
Then (27*7)+(9*x)/27+x = 8.4(average formula).
Solving x we get 63.
Then (27*7)+(9*x)/27+x = 8.4(average formula).
Solving x we get 63.
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