Aptitude - Alligation or Mixture - Discussion

Yes, the correct answer is 3:2.

Use weighted average= 7.2x+5.7y/x+y=6.3,
On solving we get x/y=2/3.

Based on the formula, my answer is 3:2.

The ratio is 2 : 3

Representations:
Using x to represent the quantity of rice at Rs 7.20 per kilogram and y to represent the quantity of rice at Rs. 5.70 per kilogram.

It is given that.

7.20x + 5.70y = 6.30(x + y).
7.20x + 5.70y = 6.30x + 6.30y.
7.20x - 6.30x = 6.30y - 5.70y.
0.9x = 0.6y.
9x = 6y.
9x/9y = 6y/9y.
x/y = 2/3.
The ratio of x : y is 2/3 or 2 : 3.

Checking:
Rs. 7.20 × 2 = Rs. 14.40.
Rs. 5.70 × 3 = Rs. 17.10.
Rs. 14.49 + Rs. 17.10 = Rs. 31.50.
Rs. 31.50 ÷ 5 = Rs. 6.30 (Checked).

Yes @Angeeta according me you are right.

I think it is a mistake.

It should be 90:60 or 3:2.

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)

worth of cost=6.30
so 6.30*100=630

den

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

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.

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!

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.