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 5 of 7.

Satish said:   1 decade ago
x - 153 = 1
------
22.50
will u explaim dis step,,,,,,,Plz,,,,

Pratima said:   1 decade ago
I'm impressed with Uma Upadhyay. Explained with simple method.

Tanmay said:   1 decade ago
@Ramakhanna.

Will you please explain your third step?

Manish said:   8 years ago
126 * 1 + 135 * 1 + x * 2 = 4 * 153,
x = 175.5.
(1)

Anil kishore said:   10 years ago
Why in the explanation?

(x-153)/22.50 = 1.

Suresh arora said:   8 years ago
I cannot understand. Anyone help me to get it.

Adhitya said:   9 years ago
(126 + 135 + 2x)/4 = 153,
2x = 35,
x = 170.5.

Boopathy said:   6 years ago
I am not understanding. Please explain to me.
(7)

Dinesh said:   9 years ago
Short and simple explanation. Thanks @Suren.

Udit said:   9 years ago
It also solve by;

153 - 130.5 = 22.5.


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