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 5 of 5.
Prajwal K said:
2 years 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.
(2)
NAVEEN KUMAR said:
9 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)
Sylvester OgboluOtutu said:
1 month ago
Use x and y to represent the two variables of Rs. 15 and Rs. 20.
15x + 20y = 16.50(x + y),
15x + 20y = 16.50x + 16.50y,
20y - 16.50y = 16.50x - 15x,
3.5y = 1.5x.
35y = 15x.
7y = 3x (Divide both sides by 5).
Divide both sides by 3y.
x/y = 7/3.
x : y = 7 : 3 (Answer)
Checking:
Rs. 15 × 7 = Rs. 105
Rs. 20 × 3 = Rs. 60
Rs. 105 + Rs. 60 = Rs. 165.00
Rs. 165 ÷ 10 = Rs. 16.50 (Checked).
15x + 20y = 16.50(x + y),
15x + 20y = 16.50x + 16.50y,
20y - 16.50y = 16.50x - 15x,
3.5y = 1.5x.
35y = 15x.
7y = 3x (Divide both sides by 5).
Divide both sides by 3y.
x/y = 7/3.
x : y = 7 : 3 (Answer)
Checking:
Rs. 15 × 7 = Rs. 105
Rs. 20 × 3 = Rs. 60
Rs. 105 + Rs. 60 = Rs. 165.00
Rs. 165 ÷ 10 = Rs. 16.50 (Checked).
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