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 4 of 5.
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
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
Krishna teja said:
1 decade ago
Atul thank you :).
Codetackler said:
10 years ago
Let 15 is to be added in x amount.
Then 20 is to be added in (1-x).
Then, 15(x)+20(1-x) = 16.5.
Answer is (x/(1-x)).
Then 20 is to be added in (1-x).
Then, 15(x)+20(1-x) = 16.5.
Answer is (x/(1-x)).
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.
Praveen Shetty said:
1 decade ago
Check the option first.
7:3 = 7*first variety/10 + 3*second variety/10 = 16.50.
7*15/10 = 10.5.
3*20/10 = 6.
By adding two you'll get 16.5.
So 7:3 is correct.
7:3 = 7*first variety/10 + 3*second variety/10 = 16.50.
7*15/10 = 10.5.
3*20/10 = 6.
By adding two you'll get 16.5.
So 7:3 is correct.
RANJEETH K REDDY said:
1 decade ago
In the question Rs 15 and Rs 20 are mentioned the prices of 1st and 2nd varieties sequentially so we need to take Rs 20 -16.50 as the first variant in the solution.
Sowmya said:
1 decade ago
Is the below mentioned method correct.
15/2 = 7.5( consider it has 7).
20/2 = 10.
10-7 = 3.
So the answer is 7:3?
15/2 = 7.5( consider it has 7).
20/2 = 10.
10-7 = 3.
So the answer is 7:3?
Shreyas Joshi said:
1 decade ago
There is a shortcut to solve such ratio questions.
1. Take the difference between the average value and the next quantity value. similarly, take the difference between the average value and the first told quantity.
So, here it is 20 -16.50 i.e. 3.50
Now, for the first quantity it is 16.5 - 15 i.e. 1.50
Now, the ratio is 3.5 /1.5 i.e. 7:3.
My question here - I understand from the equation formation that by taking such differences I will get the answer.
However, my question is to understand visually this process of solution. How come a difference gave us the right ratio? Is there any hidden fundamental behind it? Can someone decipher this difference technique via. Singapore Maths? Why difference gave me the answer is what I am puzzled. Please don't explain me from the equation point of view.
1. Take the difference between the average value and the next quantity value. similarly, take the difference between the average value and the first told quantity.
So, here it is 20 -16.50 i.e. 3.50
Now, for the first quantity it is 16.5 - 15 i.e. 1.50
Now, the ratio is 3.5 /1.5 i.e. 7:3.
My question here - I understand from the equation formation that by taking such differences I will get the answer.
However, my question is to understand visually this process of solution. How come a difference gave us the right ratio? Is there any hidden fundamental behind it? Can someone decipher this difference technique via. Singapore Maths? Why difference gave me the answer is what I am puzzled. Please don't explain me from the equation point of view.
Vikas Kohli said:
1 decade ago
How 3.50 and 1.50 come?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers