Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 11)
11.
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Answer: Option
Explanation:
By the rule of alligation:
| Cost of 1 kg of 1st kind Cost of 1 kg of 2nd kind | ||
| 720 p | Mean Price 630 p | 570 p |
| 60 | 90 | |
Required ratio = 60 : 90 = 2 : 3.
Discussion:
32 comments Page 3 of 4.
Deepti said:
10 years ago
Thank you, your explanation was helpful.
Ajay said:
2 decades ago
How 60 & 90 came here?
MAZHAURL91BD said:
1 decade ago
Details solution:
Let, X kg mixture with take 7.20 and 1 kg mixture with take 5.70.
Then, Cost price of 1 kg mixture is (7.20x + 5.70)/(x+1).
According to the question:
(7.20x + 5.70)/(x+1) = 6.30.
=> 7.20x + 5.70 = 6.30x + 6.30.
=> 0.90x = 0.60.
=> x = 2/3.
Let, X kg mixture with take 7.20 and 1 kg mixture with take 5.70.
Then, Cost price of 1 kg mixture is (7.20x + 5.70)/(x+1).
According to the question:
(7.20x + 5.70)/(x+1) = 6.30.
=> 7.20x + 5.70 = 6.30x + 6.30.
=> 0.90x = 0.60.
=> x = 2/3.
Jas said:
1 decade ago
As per alligation rule they have written in wrong order.
Sumanth geras said:
1 decade ago
7.20(x)+5.70(y)/x+y = 6.30.
Here x and y are the ratio's in which they are mixed.
7.20(x)+5.70(y) = 6.30(x)+6.30(y).
On solving we get x:y = 2:3.
This is the easiest method for these kind of problems.
Here x and y are the ratio's in which they are mixed.
7.20(x)+5.70(y) = 6.30(x)+6.30(y).
On solving we get x:y = 2:3.
This is the easiest method for these kind of problems.
Pushpa said:
1 decade ago
Guys following rule of alligation we will get 3:2 (Cheaper quantity:Dearer quantity) as answer but in question it is asked the ratio of dearer qty to the cheaper one tats why answer will be 2:3 hope I have made my point clear!
Vaishnavi said:
1 decade ago
No its 2:3 only.
How it comes is that,
-> (6.30-7.20)=> -0.60.
-> (5.70-6.30)=> -0.90.
Upon equating them acc to allegations rule, you get,
0.2:0.3 which will be 2:3;
I guess it comes this way..am I right?
How it comes is that,
-> (6.30-7.20)=> -0.60.
-> (5.70-6.30)=> -0.90.
Upon equating them acc to allegations rule, you get,
0.2:0.3 which will be 2:3;
I guess it comes this way..am I right?
Oldman said:
1 decade ago
Let the ratio be x/1-x
Then
7.20 (1-x) + 5.70 x = 6.30
7.20 -7.20x + 5.70x =6.30
7.20-1.50x =6.30
7.20-6.30 /1.50 =x
0.90/1.50 = x
3/5 =x
1-x = 1-3/5 =2/5
x/1-x = 3/5 /2/5 = 3/2
Then
7.20 (1-x) + 5.70 x = 6.30
7.20 -7.20x + 5.70x =6.30
7.20-1.50x =6.30
7.20-6.30 /1.50 =x
0.90/1.50 = x
3/5 =x
1-x = 1-3/5 =2/5
x/1-x = 3/5 /2/5 = 3/2
Sakshi said:
1 decade ago
According to books cheaper price shoul b taken firtt then dearer. So I think answer is 3:2. Please clear my doubt m I right?
Hari said:
1 decade ago
How 630 came?
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