In what proportion should sugar priced at Rs11,at Rs13,and at Rs18 per kg be mixed so that the price Rs15 kg?

Question

Above question related to mixture and allegation

Answer 1

The answer is 1:1:2.
The simple logic also gives answer.
The result must give 15; that is higher than first two rates, hence sugar of the last rate should be given more weight.

Answer 2

several such proportions are possible.
for example when all the three type of sugar are mixed together (each 1Kg)in equal proportion it makes Rs 14 /kg
ie. (11+13+18)/3 = 14
there are several ways to make numerator equal to 45 and get 15
for instance (5+13+27)=45 then 45/3=15
ie. 1/2:1:3/2 or 1:2:3

Answer 3

Let x kg of Rs. 11, y kg of Rs. 13 and z kg of Rs 18 are mixed.
Total sugar sold = (x+y+z) kg sold at Rs. 15
Therefore,
x × 11 + y ×13 + z ×18 = (x+y+z) × 15
11x + 13y + 18z = 15x +15y +15 z
3 z = 4 x + 2 y
Therefore x = 1, y =1 and z = 2
Proportion is 1 : 1 : 2

Answer 4

The 11 Rs/Kg sugar, 13Rs/Kg sugar and 18Rs/Kg sugar should be mixed in the ratio of 1:1:2 and the cost of the resultant mix will be 15 Rs/kg.

Answer 5

1:1:2

Answer 6

11*15 =165
13*15 =195
18*15 =270

42 Total =630

630/42= 15

Answer 7

one condition must be given
the proportion of Rs11 and Rs13

Answer 8

Go to a library and look up a chapter on ratio and the prepositions, in an algebra book. If it is not in your algebra book. Try your book first.