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 4 of 5.
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.
Himanshu said:
1 decade ago
In allegation formula we put the cost price, but here we are putting the selling price, why?
Math_lover said:
1 decade ago
The ratio is 2:3 which means 2 parts of 1st type and 3 parts of 2nd type and total of 1st and 2nd type is 5 parts.
Taking the fraction of 2nd type of sugar to total amount, we get 3/5 :).
Taking the fraction of 2nd type of sugar to total amount, we get 3/5 :).
Rajesh said:
1 decade ago
Yes its suggest how you found 3/5?
Kanna said:
1 decade ago
How 3/5 is coming ?
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.
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
KARTHI said:
1 decade ago
Where did 3/5 come ?
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.
Nikunj Patel said:
1 decade ago
From where did this 3/5 come?
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