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 3 of 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?
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.
Thiru said:
9 years ago
@Kanna & @Rajesh.
3 is the 18% number and 5 means 2 + 3 = 5.
3 is the 18% number and 5 means 2 + 3 = 5.
Pikot said:
9 years ago
1500 is my answer. Why. Is there a formula?
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.
Krishna Rathi said:
10 years ago
Any alternative way to solving this question?
(1)
Madhav Kudikyal said:
10 years ago
Thanks it just cleared my doubt.
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?
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?
Sarath said:
1 decade ago
Why we have to do 18%-14% and 14%-8% and put it on right left?
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