Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 15)
15.
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
Answer: Option
Explanation:
By the rule of alligation, we have:
| Profit on 1st part Profit on 2nd part | ||
| 8% | Mean Profit 14% | 18% |
| 4 | 6 | |
Ration of 1st and 2nd parts = 4 : 6 = 2 : 3
 Quantity of 2nd kind = |
 |
3 | x 1000 |  kg |
= 600 kg. |
| 5 |
Discussion:
44 comments Page 1 of 5.
MANISH said:
4 years ago
14-8 = 6.
18-14 = 4.
Ratio of 1st = 2:3.
Now;
2+3 = 5,
5 units = 1000,
1 units = 200, then
3 units = 3*200 = 600.
18-14 = 4.
Ratio of 1st = 2:3.
Now;
2+3 = 5,
5 units = 1000,
1 units = 200, then
3 units = 3*200 = 600.
(5)
Gokul Ramakrishnan said:
4 years ago
Thank you it helped me a lot.
Andy said:
5 years ago
8x + 18(1000-x)/x+1000-x =14.
8x+18000-18x = 14000,
Solving x you get 400,
1000 - 400 = 600.
8x+18000-18x = 14000,
Solving x you get 400,
1000 - 400 = 600.
(2)
Nafiul said:
6 years ago
Ql=Quality of Lower.
Qh=Quality of Higher(Let x).
Pl=Profit of Lower.
Ph=Profit of Higher.
Ql/Qh=(Ph - M)/(M - Pl).
(1000-x)/x=(18-14)/(14-8).
(1000-x)/x=4/6.
(1000-x)/x=2/3.
2x=3000-3x.
5x=3000.
x=600.
Qh=Quality of Higher(Let x).
Pl=Profit of Lower.
Ph=Profit of Higher.
Ql/Qh=(Ph - M)/(M - Pl).
(1000-x)/x=(18-14)/(14-8).
(1000-x)/x=4/6.
(1000-x)/x=2/3.
2x=3000-3x.
5x=3000.
x=600.
Marvi said:
6 years ago
How to calculate 1st nd 2nd ratio?
Yogesha said:
7 years ago
How to calculate 1st ratio and 2nd ratio? Please tell me.
Chanukya said:
7 years ago
Thank you helped me.
Mohan said:
7 years ago
Let x part is sell with 8% profit
And the rest 1000-x with 18%
And total profit is 14%.
Then we can write;
(X * 8) (1000-x)*18 (1000 * 14)
---------------- + ----------- = ------------------
100 100 100
Here all 100 in the denominator is cancel out;
And we get,
8x + 1000*18 - 18x = 1000*14
-10x = 14000 - 18000
-10x = -4000
X = 400.
The quantity sold at 18% profit is:
1000 - x = 1000 - 400 = 600 Ans.
I HOPE IT WILL HELP TO MAKE WITH BASIC WITHOUT ALLIGATION METHOD.
THANK YOU.
And the rest 1000-x with 18%
And total profit is 14%.
Then we can write;
(X * 8) (1000-x)*18 (1000 * 14)
---------------- + ----------- = ------------------
100 100 100
Here all 100 in the denominator is cancel out;
And we get,
8x + 1000*18 - 18x = 1000*14
-10x = 14000 - 18000
-10x = -4000
X = 400.
The quantity sold at 18% profit is:
1000 - x = 1000 - 400 = 600 Ans.
I HOPE IT WILL HELP TO MAKE WITH BASIC WITHOUT ALLIGATION METHOD.
THANK YOU.
(4)
Ananda said:
7 years ago
Clear explanations. Thanks for your great help.
(1)
Shree said:
8 years ago
Thank you all for explaining the solution.
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