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?
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:
43 comments Page 4 of 5.
Kousik maji said:
1 decade ago
Let x kg first variety mixed with y kg of second variety.
So total cost of(x+y) kg is Rs. 15x+20y.
So cost of 1 kg mixture is Rs. (15x+20y)/x+y.
Now according to question,
(15x+20y)/(x+y)=16.50
=> (15x+20y)/(x+y)=33/2
=>33x+33y=30x+40y
=>3x=7y
=> x:y=7:3.
Answer is 7:3.
So total cost of(x+y) kg is Rs. 15x+20y.
So cost of 1 kg mixture is Rs. (15x+20y)/x+y.
Now according to question,
(15x+20y)/(x+y)=16.50
=> (15x+20y)/(x+y)=33/2
=>33x+33y=30x+40y
=>3x=7y
=> x:y=7:3.
Answer is 7:3.
(1)
Anup said:
1 decade ago
@Atul.
Really superb solution. Unlike the theoretical approach this is quite simple to understand.
Really superb solution. Unlike the theoretical approach this is quite simple to understand.
Vinod said:
1 decade ago
Let x=15,y=20.
We know that x+y=16.50.
We can write in eqtion form:
15x+20y = 16.50(x+y)
16.50x-15x = 20y-16.50y
1.50x =3.50y
x/y = 3.50/1.50
Just we can convert
From eq x = 350/100=35
Eqtion y = 150/100=15
There fore ratio is
x:y =35:15.
Then answer is 7:3.
We know that x+y=16.50.
We can write in eqtion form:
15x+20y = 16.50(x+y)
16.50x-15x = 20y-16.50y
1.50x =3.50y
x/y = 3.50/1.50
Just we can convert
From eq x = 350/100=35
Eqtion y = 150/100=15
There fore ratio is
x:y =35:15.
Then answer is 7:3.
Krishna teja said:
1 decade ago
Atul thank you :).
Atul Verma said:
1 decade ago
Let x kg of 1st is taken and (1-x) of 2nd is taken.
Then price of mixture will be:15*x+20*(1-x)=20-5x ----(1)
Given price of mixture is 16.5 -----(2)
From Equation (1) & (2)
20-5x=16.5
=> 5x=20-16.5
=> x=3.5/5
=> x=0.7
So,ratio is x:1-x i.e. 0.7:0.3 => 7:3 ans
Then price of mixture will be:15*x+20*(1-x)=20-5x ----(1)
Given price of mixture is 16.5 -----(2)
From Equation (1) & (2)
20-5x=16.5
=> 5x=20-16.5
=> x=3.5/5
=> x=0.7
So,ratio is x:1-x i.e. 0.7:0.3 => 7:3 ans
Prakash said:
1 decade ago
Its better to follow simple method boss.
Lets assume that price of A be 150 and B is 200.
Mixture to sell at 165.
Cheaper grocery profit = 165-150 = 15.
Dearer grocery loss = 200-165=35.
Ratios to sell at 165 is.
35
---- = 7:3
15
Lets assume that price of A be 150 and B is 200.
Mixture to sell at 165.
Cheaper grocery profit = 165-150 = 15.
Dearer grocery loss = 200-165=35.
Ratios to sell at 165 is.
35
---- = 7:3
15
Shashank said:
1 decade ago
350/100:150/100=35:15=7:3
Sathish said:
1 decade ago
How we get 3.50:1.50=7:3?
San said:
1 decade ago
If we swap 15 and 20 places.
Why can't it be 3:7 ? is there any rule?
Why can't it be 3:7 ? is there any rule?
Viswajit said:
1 decade ago
Thank you manasa.
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