Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 5)
5.
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
3 : 7
5 : 7
7 : 3
7 : 5
Answer: Option
Explanation:

By the rule of alligation:

Cost of 1 kg pulses of 1st kind Cost of 1 kg pulses of 2nd kind
Rs. 15 Mean Price
Rs. 16.50
Rs. 20
3.50 1.50

Required rate = 3.50 : 1.50 = 7 : 3.

Discussion:
42 comments Page 2 of 5.

Praveen Shetty said:   1 decade ago
Check the option first.

7:3 = 7*first variety/10 + 3*second variety/10 = 16.50.

7*15/10 = 10.5.

3*20/10 = 6.

By adding two you'll get 16.5.

So 7:3 is correct.

Nani said:   2 years ago
As per question; 16.50 and c = 15 d = 20
now the ratio x : y.
3.5 : 1.5.

BY applying both sides * 10.
35 : 15,
So, the answer is 7 : 3.
(6)

Sumanth geras said:   1 decade ago
15(x)+20(y)/x+y = 16.50.

(Here x and y are the ratios in which they are to be mixed).

Then 15x+20y = 16.50x+16.50y.

On simplifying we get x:y = 7:3.
(1)

Sheetal said:   1 decade ago
If cost of 1kg pulses of 2'nd kind is=15

& 1'st kind is=20...
then what will be the ans?

Please tell me...

It's depends upon the mean price?

Prajwal K said:   1 year ago
@Mounika.

It is the mean price of the mixture and not the average price. And they have given the mean cost of the mix.
(1)

Codetackler said:   10 years ago
Let 15 is to be added in x amount.

Then 20 is to be added in (1-x).

Then, 15(x)+20(1-x) = 16.5.

Answer is (x/(1-x)).

Sowmya said:   1 decade ago
Is the below mentioned method correct.

15/2 = 7.5( consider it has 7).
20/2 = 10.
10-7 = 3.

So the answer is 7:3?

Anup said:   1 decade ago
@Atul.

Really superb solution. Unlike the theoretical approach this is quite simple to understand.

Arnab said:   7 years ago
Suppose, x kg from A.
Y kg from B.

15*x/x+y +20*y/x+y = 16.5,
x : y = 7 : 3.
(3)

Mounika said:   2 years ago
How does the mean price be 16.50?

As (15+20) /2 will be 17.5 na? Anyone, please explain to me.
(4)


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