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.
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)
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)
NAVEEN KUMAR said:
8 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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