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:
Rs. 169.50
Rs. 170
Rs. 175.50
Rs. 180
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.

Harshith said:   1 year ago
Here, 153 * 4 - 126 - 135/2 = 175.50.
(12)

Sameer khan said:   10 years ago
Guys it explained in a general way.

Anu said:   9 years ago
Please explain how to come 22.50?

YAW said:   1 decade ago
Why do you keep dividing it by 4?

Rashmitha said:   6 years ago
Have anyone got 164.25 as answer.
(11)

Nidhi said:   8 years ago
How 135? from where did it came.

Charan said:   1 decade ago
(126+135+2x)/4 = 153
x=175.5rs

Shweta jain said:   1 decade ago
Good explanation Ramakhanna.

Parithi said:   9 years ago
Can you explain clearly?
(1)

Chacha said:   1 decade ago
Suren you rocked.


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