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 4 of 5.

Asha said:   8 years ago
@Chinki

Because they have asked only about the quantity which is sold for 18% profit
if they asked to fine out the quantity which is sold for 8% profit you can multiply 2/5 (bcs 2/(3+2)) with 1000.

=(2/5) * 1000 => 400kg.

Aditya said:   8 years ago
A businessman sells some sugar in total sugar of 50 kg on 8% profit and remaining sugar on 18% profit. If the average profit is 14%. Find the amount of sugar which was sold on 18% profit.

Can anyone solve this?

Lucky said:   8 years ago
Thank you all.

R.Jaswanth Raju said:   8 years ago
@Aditya.

Just like the above question we can apply same rule and method to solve your question.

ANSWER:

He sold 30kg sugar for 18% profit.
After solving we get 4:6=>2:3
3/5*50 = 30.
Here 30 indicates kgs.

Shree said:   8 years ago
Thank you all for explaining the solution.

Ananda said:   7 years ago
Clear explanations. Thanks for your great help.
(1)

Mohan said:   7 years ago
Let x part is sell with 8% profit
And the rest 1000-x with 18%
And total profit is 14%.

Then we can write;

(X * 8) (1000-x)*18 (1000 * 14)
---------------- + ----------- = ------------------
100 100 100

Here all 100 in the denominator is cancel out;
And we get,
8x + 1000*18 - 18x = 1000*14
-10x = 14000 - 18000
-10x = -4000
X = 400.

The quantity sold at 18% profit is:

1000 - x = 1000 - 400 = 600 Ans.

I HOPE IT WILL HELP TO MAKE WITH BASIC WITHOUT ALLIGATION METHOD.

THANK YOU.
(4)

Chanukya said:   7 years ago
Thank you helped me.

Yogesha said:   7 years ago
How to calculate 1st ratio and 2nd ratio? Please tell me.

Marvi said:   6 years ago
How to calculate 1st nd 2nd ratio?


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