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:
65 comments Page 5 of 7.
Chacha said:
1 decade ago
Suren you rocked.
Ankan said:
1 decade ago
@Uma Upadhyay.
You are right and you maked its so easy. Thanks and also.
@Suren because you both are following similar process and right one.
You are right and you maked its so easy. Thanks and also.
@Suren because you both are following similar process and right one.
San said:
1 decade ago
Price of all mixture 126+135+(2*X)
Number of kgs 1+1+2
Therefore mixture price per kg=(price of all mix)/(number of kgs)=153/kg
Hence X=175.5/kg .
Number of kgs 1+1+2
Therefore mixture price per kg=(price of all mix)/(number of kgs)=153/kg
Hence X=175.5/kg .
Preethi said:
1 decade ago
@suren.
In the question 1kg of the mixture is mentioned as Rs 153 na? how can you say 4kg costs 153.
Please explain.
In the question 1kg of the mixture is mentioned as Rs 153 na? how can you say 4kg costs 153.
Please explain.
Charan said:
1 decade ago
(126+135+2x)/4 = 153
x=175.5rs
x=175.5rs
Pratima said:
1 decade ago
I'm impressed with Uma Upadhyay. Explained with simple method.
Nikhil said:
1 decade ago
How come 175.5?
Neelesh said:
1 decade ago
Thanks suren and uma both method much simple as explained here.
Prince Sethi said:
1 decade ago
Simple answer here:
Suppose there are three types of tea:type 1=126kg
Type2=135kg
Type3=xkg
Now
1/4*126=31.5
Again
1/4*135=33.75
Now
2/4*x=x/2
Now addition
31.5+33.75+1/2x=153
x/2=153-65.25
x=175.50
Let me know in-case of any issues
Suppose there are three types of tea:type 1=126kg
Type2=135kg
Type3=xkg
Now
1/4*126=31.5
Again
1/4*135=33.75
Now
2/4*x=x/2
Now addition
31.5+33.75+1/2x=153
x/2=153-65.25
x=175.50
Let me know in-case of any issues
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.
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