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:
30 comments Page 1 of 3.
Harini said:
3 years ago
How that 7.20 turned into 720p? Can you please explain?
Sony Tiwary said:
5 years ago
Yes, the correct answer is 3:2.
(4)
Bargavi said:
5 years ago
Correct, Thanks @Pushpa.
Ravi said:
7 years ago
How 90:30 come?
Shree said:
8 years ago
Thanks for the explanations.
ManuAdhish said:
8 years ago
Use weighted average= 7.2x+5.7y/x+y=6.3,
On solving we get x/y=2/3.
On solving we get x/y=2/3.
(2)
Pravat sahu said:
8 years ago
How 630 came? Please explain me.
Shruti said:
8 years ago
No cheaper quantity is mixed in more amount so answer is 2 : 3.
Pratap Chandra Das said:
9 years ago
I think the answer is correct.
2 parts of 720 + 3 parts of 570.
=> 2 * 720+3 * 570 = 3150.
Per kg rice(i.e.,mean price)= 3150/5 = 630.
{hear 5 is 2:3}
2:3 is correct instead 3:2.
2 parts of 720 + 3 parts of 570.
=> 2 * 720+3 * 570 = 3150.
Per kg rice(i.e.,mean price)= 3150/5 = 630.
{hear 5 is 2:3}
2:3 is correct instead 3:2.
Pradeep said:
9 years ago
No the answer is correct ,though it does not use the standard alligation formula.
Reverse work the answer
2/5th of 1 kg of mixed rice = 0.4 kg of 1st variety @ Rs 7.2/Kg dearer ricee.
3/5th of 1 kg of mixed rice=0.6 kg of 2nd variety @ Rs 5.7/Kg cheaper rice.
Therefore the sum of cost price of individual component as per the ratio mixture must be equal to cost price of 1kg of the mixture
(7.2 * 0.4) + (0.6 * 5.7) = 6.3.
Also no option of 3:2.
Reverse work the answer
2/5th of 1 kg of mixed rice = 0.4 kg of 1st variety @ Rs 7.2/Kg dearer ricee.
3/5th of 1 kg of mixed rice=0.6 kg of 2nd variety @ Rs 5.7/Kg cheaper rice.
Therefore the sum of cost price of individual component as per the ratio mixture must be equal to cost price of 1kg of the mixture
(7.2 * 0.4) + (0.6 * 5.7) = 6.3.
Also no option of 3:2.
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