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 3 of 5.
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?
Mehedy said:
1 decade ago
Just look,
One value is x & another is 27.
So, we can write like: 1.1 (9x+27*7) = 9.24 (x+27).
Now solve the equation.
One value is x & another is 27.
So, we can write like: 1.1 (9x+27*7) = 9.24 (x+27).
Now solve the equation.
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.
Anushka said:
4 years ago
S.P = 9.24
CP = 9.24 * 100/110 = 8.4.
Let the qty of sugar be x;
9x + (27 * 7)/27 + x = 8.4
x= 63kg => answer.
CP = 9.24 * 100/110 = 8.4.
Let the qty of sugar be x;
9x + (27 * 7)/27 + x = 8.4
x= 63kg => answer.
(6)
Andy said:
6 years ago
The first step find the cost price 9.24 * 100/110 = 8.4.
Then equation: (7*27)+(9*X) = 8.4.
Solving X = 63.
Then equation: (7*27)+(9*X) = 8.4.
Solving X = 63.
(1)
Namratha said:
4 years ago
Can somebody please explain how 110/100 came, why should we take it like that and what's that?
(4)
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)
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?
Darpana said:
10 years ago
How is the ratio of 9:7 dropped down to 7:3? Could someone please explain?
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)
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