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:
45 comments Page 4 of 5.
KARTHI said:
1 decade ago
Where did 3/5 come ?
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
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.
Kanna said:
1 decade ago
How 3/5 is coming ?
Rajesh said:
1 decade ago
Yes its suggest how you found 3/5?
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?
Himanshu said:
1 decade ago
In allegation formula we put the cost price, but here we are putting the selling price, why?
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.
Sarath said:
1 decade ago
Why we have to do 18%-14% and 14%-8% and put it on right left?
Anjali said:
1 decade ago
@Sarath. As you are mixing with each of its kind so. The allegation formula suggests us to subtract the cheaper from the mean and to subtract the dearer from the mean. The resultant is the C.P of the mixtures. Is it now clear to you?
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