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)
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)
Andy said:
6 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)
Saranya Kumar said:
9 years ago
118x + 108(1000 - x) = 114000.
59x + 54(1000 - x) = 57000.
5x = 3000.
x = 600.
59x + 54(1000 - x) = 57000.
5x = 3000.
x = 600.
(1)
Ananda said:
7 years ago
Clear explanations. Thanks for your great help.
(1)
Krishna Rathi said:
10 years ago
Any alternative way to solving this question?
(1)
Nikunj Patel said:
1 decade ago
From where did this 3/5 come?
Ritija said:
9 years ago
Why we calculate the second part only?
Please tell me.
Please tell me.
Naveen kumar said:
8 years ago
Because they asked to find about 2nd one only.observe the allegation rule the no below 18% is 6. So that must be calculated .the ratio is 4:6 it means that (6/10) * 1000 = 600.
We get the answer. Hope you got it.
We get the answer. Hope you got it.
Abhi M said:
8 years ago
Hey Guys,
I have a question.
When the quantities are all expressed in percentages, can we take the values as it is? Without having to find out the Cost Prices or Selling Prices?
I have a question.
When the quantities are all expressed in percentages, can we take the values as it is? Without having to find out the Cost Prices or Selling Prices?
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