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:
42 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)
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.
It is the mean price of the mixture and not the average price. And they have given the mean cost of the mix.
(1)
NAVEEN KUMAR said:
6 months ago
3.5, 1.5
Now, to make it easier, you can multiply both numbers by 10 to eliminate the decimal points:
3.5 * 10 = 35
1.5 * 10 = 15.
Next, simplify this ratio by dividing both numbers by their greatest common divisor (GCD), which is 5:
35/5 = 7
15/5 = 3
(/5 is the greatest common divisor)
So, the final simplified ratio is 7:3.
So, the final simplified ratio is 7:3.
Now, to make it easier, you can multiply both numbers by 10 to eliminate the decimal points:
3.5 * 10 = 35
1.5 * 10 = 15.
Next, simplify this ratio by dividing both numbers by their greatest common divisor (GCD), which is 5:
35/5 = 7
15/5 = 3
(/5 is the greatest common divisor)
So, the final simplified ratio is 7:3.
So, the final simplified ratio is 7:3.
(1)
Priyanka said:
9 years ago
I didn't get this, Please explain it again.
Dinaz Khan said:
10 years ago
I don't understand the answer please explain clearly.
Anil said:
9 years ago
@Priyanka, it is allegation formula in a pictorial way.
Madhuri said:
9 years ago
Why can't be the answer is 3 : 7?
Vishnu said:
9 years ago
I don't understand what is mean price. Please someone help me.
Suraj said:
8 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:
8 years ago
3.50:1.50 <=> 350:150 remove decimals and then write ratio after solving you get 7:3.
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