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
![]() |
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3 | x 1000 | ![]() |
= 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.
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?
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.
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.
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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