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 3 of 7.
Manish said:
8 years ago
126 * 1 + 135 * 1 + x * 2 = 4 * 153,
x = 175.5.
x = 175.5.
(1)
Nasir said:
9 years ago
Let there is total x kg of tea and the price of third variety be Rs y per kg.
=> (126*1/4*x) + (135*1/4*x) + (y*1/2*x) = x * 153.
On solving the above eqn, we get y = 175.5.
=> (126*1/4*x) + (135*1/4*x) + (y*1/2*x) = x * 153.
On solving the above eqn, we get y = 175.5.
Manisha panda said:
9 years ago
@Ashwini.
Your answer was short, precise and understandable. Thanks
Your answer was short, precise and understandable. Thanks
Anu said:
9 years ago
Please explain how to come 22.50?
Jitender said:
9 years ago
Simple: (1st quantity * its ratio + second quantity * it's ratio + third quantity * it's ratio)/sum of all ratios = Mean price.
(126x1 + 135x1 + 2xY)/4 = 153,
2Y = 351 , Y = 175.5.
(126x1 + 135x1 + 2xY)/4 = 153,
2Y = 351 , Y = 175.5.
Dinesh said:
9 years ago
Short and simple explanation. Thanks @Suren.
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.
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
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?
Parithi said:
9 years ago
Can you explain clearly?
(1)
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