Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 2)
2.
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Answer: Option
Explanation:
Since first and second varieties are mixed in equal proportions.
| So, their average price = Rs. |  |
126 + 135 |  |
= Rs. 130.50 |
| 2 |
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of alligation, we have:
| Cost of 1 kg of 1st kind Cost of 1 kg tea of 2nd kind | ||
| Rs. 130.50 | Mean Price Rs. 153 | Rs. x |
| (x - 153) | 22.50 | |
 |
x - 153 | = 1 |
| 22.50 |
x - 153 = 22.50
x = 175.50
Discussion:
62 comments Page 6 of 7.
Anil kishore said:
10 years ago
Why in the explanation?
(x-153)/22.50 = 1.
(x-153)/22.50 = 1.
Lokesh reddy said:
1 decade ago
126kg-1st 135kg-2nd xkg-3rd
1 : 1 : 2
(126*1 + 135*1 + 2*x )/ 4 = (153) total mixture.
By solving,
x=170.50.
1 : 1 : 2
(126*1 + 135*1 + 2*x )/ 4 = (153) total mixture.
By solving,
x=170.50.
Udit said:
9 years ago
It also solve by;
153 - 130.5 = 22.5.
153 - 130.5 = 22.5.
Piyush said:
9 years ago
What if the ratio was something different? how to solve through the same method.
Suren said:
2 decades ago
Totally there are 4kg mixture which costs 153.
therfore,(126+135+x)/4=153
x=351.
Here x is the price for 2Kg.
therefore x=175.50
therfore,(126+135+x)/4=153
x=351.
Here x is the price for 2Kg.
therefore x=175.50
Adhitya said:
9 years ago
(126 + 135 + 2x)/4 = 153,
2x = 35,
x = 170.5.
2x = 35,
x = 170.5.
Sucharitha said:
9 years ago
Can you please explain, if suppose the costs of three varieties are given but ratios are not given.
Then what will be the solution?
Then what will be the solution?
Bikram said:
9 years ago
Take the average of 126 & 135 = 130.50,
Now deduct 130.50 from 153.
=> 153 - 130.50 = 22.50,
Then add 22.50 with 153.
=> 153 + 22.50,
Finally, the answer is 175.50
Now deduct 130.50 from 153.
=> 153 - 130.50 = 22.50,
Then add 22.50 with 153.
=> 153 + 22.50,
Finally, the answer is 175.50
Tejas said:
9 years ago
1 : 1 : 2 = 126 + 135 + 2x.
126 + 135 + 2x = 153 * 4.
x = 175.50.
126 + 135 + 2x = 153 * 4.
x = 175.50.
Dinesh said:
9 years ago
Short and simple explanation. Thanks @Suren.
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