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:
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)
Krishna Rathi said:
10 years ago
Any alternative way to solving this question?
(1)
Ananda said:
7 years ago
Clear explanations. Thanks for your great help.
(1)
Timo said:
9 years ago
@ Simit.
I'm really trying to follow your explanation, its quite easy for me than the other methods. But I'm lost along the way, why multiply 1000 which is the total quantity by the 1.14 which is the percentage increase in profit?
I'm really trying to follow your explanation, its quite easy for me than the other methods. But I'm lost along the way, why multiply 1000 which is the total quantity by the 1.14 which is the percentage increase in profit?
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.
Pooja said:
9 years ago
How to solve if the merchant is in the loss for the 2nd time?
Gobi said:
9 years ago
Why in this place taking selling price?
Ritija said:
8 years ago
Why we calculate the second part only?
Please tell me.
Please tell me.
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