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 2 of 5.
Simit said:
1 decade ago
Let us consider 2 part X(18%)&Y(8%).
Now 1000-x = y.
1000*1.14 = x*1.18+y*1.08.
1000*1.14 = x*1.18+(1000-x)1.08.
1000*0.06 = x*0.1.
x = 600.
Now 1000-x = y.
1000*1.14 = x*1.18+y*1.08.
1000*1.14 = x*1.18+(1000-x)1.08.
1000*0.06 = x*0.1.
x = 600.
Robin said:
1 decade ago
@Himanshu.
Basically, the allegation formula is deployed w.r.t unit of mean quantity, not specifically on cost price, which is profit% in this case.
Basically, the allegation formula is deployed w.r.t unit of mean quantity, not specifically on cost price, which is profit% in this case.
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)
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.
Nidhi said:
9 years ago
Suppose x part is for 8% and y is for 18% then,
x+y = 1000.
8x+18y = (x+y)14.
x/y = 2/3.
y = 3/5*1000.
y = 600.
x+y = 1000.
8x+18y = (x+y)14.
x/y = 2/3.
y = 3/5*1000.
y = 600.
Vasumaila said:
1 decade ago
The ratio of 1st & 2nd = 4:6=2:3
so its become 2+3=5
so we calculate 3/5*1000=600
I hope U understand
so its become 2+3=5
so we calculate 3/5*1000=600
I hope U understand
Himanshu said:
1 decade ago
In allegation formula we put the cost price, but here we are putting the selling price, why?
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)
Kishore said:
1 decade ago
Here the second part ratio is 3 and total mixture part is 5 so it came as the ratio 3/5.
Gokul said:
10 years ago
If 18-14 = 4 and 14-8 = 6.
Then the ratio must be 3:2 for a:b how come it is 2:3?
Then the ratio must be 3:2 for a:b how come it is 2:3?
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