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:
400 kg
560 kg
600 kg
640 kg
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.

Pikot said:   9 years ago
1500 is my answer. Why. Is there a formula?

Thiru said:   9 years ago
@Kanna & @Rajesh.

3 is the 18% number and 5 means 2 + 3 = 5.

Saranya Kumar said:   9 years ago
118x + 108(1000 - x) = 114000.
59x + 54(1000 - x) = 57000.
5x = 3000.
x = 600.

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?

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.

Naveen kumar said:   8 years ago
Because they asked to find about 2nd one only.observe the allegation rule the no below 18% is 6. So that must be calculated .the ratio is 4:6 it means that (6/10) * 1000 = 600.

We get the answer. Hope you got it.

Abhi M said:   8 years ago
Hey Guys,

I have a question.

When the quantities are all expressed in percentages, can we take the values as it is? Without having to find out the Cost Prices or Selling Prices?

Chinki said:   8 years ago
Why 2/3 is not multiplied by 1000?


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