Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 11)
11.
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
1 : 3
2 : 3
3 : 4
4 : 5
Answer: Option
Explanation:

By the rule of alligation:

Cost of 1 kg of 1st kind Cost of 1 kg of 2nd kind
720 p Mean Price
630 p
570 p
60 90

Required ratio = 60 : 90 = 2 : 3.

Discussion:
30 comments Page 2 of 3.

Pradeep said:   9 years ago
No the answer is correct ,though it does not use the standard alligation formula.

Reverse work the answer
2/5th of 1 kg of mixed rice = 0.4 kg of 1st variety @ Rs 7.2/Kg dearer ricee.
3/5th of 1 kg of mixed rice=0.6 kg of 2nd variety @ Rs 5.7/Kg cheaper rice.
Therefore the sum of cost price of individual component as per the ratio mixture must be equal to cost price of 1kg of the mixture
(7.2 * 0.4) + (0.6 * 5.7) = 6.3.

Also no option of 3:2.

Pratap Chandra Das said:   9 years ago
I think the answer is correct.
2 parts of 720 + 3 parts of 570.
=> 2 * 720+3 * 570 = 3150.
Per kg rice(i.e.,mean price)= 3150/5 = 630.
{hear 5 is 2:3}
2:3 is correct instead 3:2.

Shruti said:   8 years ago
No cheaper quantity is mixed in more amount so answer is 2 : 3.

Pravat sahu said:   8 years ago
How 630 came? Please explain me.

Shree said:   8 years ago
Thanks for the explanations.

Ravi said:   7 years ago
How 90:30 come?

Bargavi said:   5 years ago
Correct, Thanks @Pushpa.

Ajay said:   1 decade ago
How 60 & 90 came here?

Deepti said:   9 years ago
Thank you, your explanation was helpful.

Mahi said:   9 years ago
Hello, According to alligation rule the answer is wrong. But I referred some books, I came to know that when in the question we gave the same kind of products like (first kind of rice and second of rice as given in the above question).
We should take the allegation rule as per question sequence.

In the above question, we have the highest value 7.20 first followed by 5.70. So we should take 7.20 first in alligation rule.

Hope my answer is helpful.


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