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.
Marvi said:
6 years ago
How to calculate 1st nd 2nd ratio?
Nafiul said:
6 years ago
Ql=Quality of Lower.
Qh=Quality of Higher(Let x).
Pl=Profit of Lower.
Ph=Profit of Higher.
Ql/Qh=(Ph - M)/(M - Pl).
(1000-x)/x=(18-14)/(14-8).
(1000-x)/x=4/6.
(1000-x)/x=2/3.
2x=3000-3x.
5x=3000.
x=600.
Qh=Quality of Higher(Let x).
Pl=Profit of Lower.
Ph=Profit of Higher.
Ql/Qh=(Ph - M)/(M - Pl).
(1000-x)/x=(18-14)/(14-8).
(1000-x)/x=4/6.
(1000-x)/x=2/3.
2x=3000-3x.
5x=3000.
x=600.
Gokul Ramakrishnan said:
4 years ago
Thank you it helped me a lot.
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 :).
Priya said:
1 decade ago
@target
18-14=4
and
8-14=6
hope it helps u..
18-14=4
and
8-14=6
hope it helps u..
Ajith kumar said:
1 decade ago
Thank you, I was also suffering with same doubt. It helped me a lot.
Hjgh said:
1 decade ago
Thanks helped me a lot.
Nikunj Patel said:
1 decade ago
From where did this 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.
KARTHI said:
1 decade ago
Where did 3/5 come ?
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