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 4 of 7.
Pratima said:
1 decade ago
How this mean price is calculated in allegation problems?Is there any particular way of calculating mean value?
Ragul said:
1 decade ago
Problem is simple.
(126+135+x) * (k+k+2K) =153* (k+K+2K).
When you solve above one, you will get x.
(126+135+x) * (k+k+2K) =153* (k+K+2K).
When you solve above one, you will get x.
Uma Upadhyay said:
1 decade ago
Say the unknown quantity is X.
Then (126*1+135*1+2*x)/(1+1+2)= 153
on solving X= 175.50
Then (126*1+135*1+2*x)/(1+1+2)= 153
on solving X= 175.50
Piyush said:
9 years ago
What if the ratio was something different? how to solve through the same method.
Niharika said:
5 years ago
Third Verity = x
126 * 1 + 135 * 1 + X * 2/1 + 1 + 2 = 153.
X = 175.50.
126 * 1 + 135 * 1 + X * 2/1 + 1 + 2 = 153.
X = 175.50.
(73)
RAJAT GUPTA said:
8 years ago
153-126 = 27,
153-135 = 18,
27+18/2 = 22.5,
153+22.5 = 175.5 easily.
153-135 = 18,
27+18/2 = 22.5,
153+22.5 = 175.5 easily.
Manisha panda said:
9 years ago
@Ashwini.
Your answer was short, precise and understandable. Thanks
Your answer was short, precise and understandable. Thanks
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.
Goutam_De said:
8 years ago
(126 + 135 + 2x)/4 = 153,
2x = 612-261=351,
x=351/2,
x = 170.5.
2x = 612-261=351,
x=351/2,
x = 170.5.
(1)
Neelesh said:
1 decade ago
Thanks suren and uma both method much simple as explained here.
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