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 1 of 3.

Sony Tiwary said:   5 years ago
Yes, the correct answer is 3:2.
(4)

ManuAdhish said:   8 years ago
Use weighted average= 7.2x+5.7y/x+y=6.3,
On solving we get x/y=2/3.
(2)

Nitin gusain said:   1 decade ago
Yes @Angeeta according me you are right.

I think it is a mistake.

It should be 90:60 or 3:2.
(1)

VARUN KUMAR said:   1 decade ago
Rule of Alligation : If two ingredients are mixed, then :

c = Cost price of a unit quantity of cheaper

d= C.P. of a unit quantity of dearer



(Quantity of Cheaper) / (Quantity of dearer) = {(C.P. of Dearer) - (Mean price)} / {(Mean Price) - (C.P. of Cheaper)}


(Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c)


c d
\ /
\/
/\mean price (m)
/ \
(d-m) (m-c)
(1)

Vasumaila said:   1 decade ago
worth of cost=6.30
so 6.30*100=630

den

720-630=90
630-570=60
so
90:30=2:3
(1)

Ashok said:   9 years ago
No, this answer is wrong because it contains cheaper quantity on the left side and higher quantity on other side but in this solution, it is appearing on opposite side according to the rule of alligation.

Its kind of star problem conducted by some corporate company to check that canditate's are guessing.
(1)

Pushpa said:   1 decade ago
Rule of alligation we will get 3:2 (Cheaper quantity: Dearer quantity) as answer but in question it asked the ratio of dearer qty to the cheaper one tats why answer will be 2:3 hope I have made my point clear!
(1)

Sai said:   9 years ago
Thank you all for the explanation.

Harini said:   3 years ago
How that 7.20 turned into 720p? Can you please explain?

Siva said:   9 years ago
Actually, the alligation formula.

Cheaper price dearer price.
Mean price.

From this formula, 720 itself come first. So the answer is 3:2.


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