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 2 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)
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.
(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)
Navdeep said:
9 years ago
The mean price is a trick , this question is particularly based on it . as we see there is only one equation made i.e [15x + 20y = 16.5] other than this we cant make any equation.
My suggestion to solve these type of question where only one equation is made to put the value of options given.
As here only one option satisfies.
My suggestion to solve these type of question where only one equation is made to put the value of options given.
As here only one option satisfies.
(1)
Sureshkumar said:
1 decade ago
(20-16.50)=3.50.
(16.50-15)=1.50.
If values in points means should divide by 100 or 10 based on that because ratio should not be in points. So,
3.50/100 = 35.
1.50/100 = 15.
Respectively 35:15 = 7:3.
(16.50-15)=1.50.
If values in points means should divide by 100 or 10 based on that because ratio should not be in points. So,
3.50/100 = 35.
1.50/100 = 15.
Respectively 35:15 = 7:3.
(1)
Priyanka said:
1 decade ago
I didn't get this, Please explain it again.
Dinaz Khan said:
1 decade ago
I don't understand the answer please explain clearly.
Anil said:
10 years ago
@Priyanka, it is allegation formula in a pictorial way.
Vishnu said:
10 years ago
I don't understand what is mean price. Please someone help me.
Suraj said:
9 years ago
20x+15(1-x) = 16.5.
x = 0.3.
1-x/x = 7/3.
x = 0.3.
1-x/x = 7/3.
Sweta said:
9 years ago
3.50:1.50 <=> 350:150 remove decimals and then write ratio after solving you get 7:3.
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