Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 13)
13.
The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:
Answer: Option
Explanation:
Let the price of the mixed variety be Rs. x per kg.
By rule of alligation, we have:
| Cost of 1 kg of Type 1 rice Cost of 1 kg of Type 2 rice | ||
| Rs. 15 | Mean Price Rs. x | Rs. 20 |
| (20 - x) | (x - 15) | |
 |
(20 - x) | = | 2 |
| (x - 15) | 3 |
60 - 3x = 2x - 30
5x = 90
x = 18.
Discussion:
18 comments Page 1 of 2.
Kasinath said:
1 decade ago
Type1 Rice costs 15Rs/Kg.
Type2 Rice costs 20Rs/Kg.
Given that Type1 and Type2 are mixed in 2:3 ratio.
Let us consider option [A] i.e., 18.
Hence Option[A] 18 is the correct answer.
Type2 Rice costs 20Rs/Kg.
Given that Type1 and Type2 are mixed in 2:3 ratio.
Let us consider option [A] i.e., 18.
15 20
18
=> 20-18=2 18-15=3.
Hence Option[A] 18 is the correct answer.
Aditya said:
2 years ago
single way is think that you buy
2 kg of type 1 rice--> which costs you 2*15 Rs
3 kg of type 2 rice--> which costs you 3*20 Rs
Total price--> 30 + 60--> 90 Rs.
Total weight--> 5Kg,
Average it down--> 90/5--> 18rs/kg.
2 kg of type 1 rice--> which costs you 2*15 Rs
3 kg of type 2 rice--> which costs you 3*20 Rs
Total price--> 30 + 60--> 90 Rs.
Total weight--> 5Kg,
Average it down--> 90/5--> 18rs/kg.
(5)
Jitender Sehrawat said:
9 years ago
Simple see: you have two mixture one is 15kg and another is 20 kg and you have given they are in ratio 2:3.
Its mean you have 20%of 15kg = 3 and 30%of 20kg = 6
When you will mix them it will be 6x3 = 18kg.
Its mean you have 20%of 15kg = 3 and 30%of 20kg = 6
When you will mix them it will be 6x3 = 18kg.
Narasimha said:
1 decade ago
Hi this is also solve with, avg model formula:
2:3::type1:type2
type1 2 parts rs 15 perkg
type2 3 parts rs 20per kg
So that avg price = (15*2+20*3 )/5 //2+3=5
=90/5
=18
2:3::type1:type2
type1 2 parts rs 15 perkg
type2 3 parts rs 20per kg
So that avg price = (15*2+20*3 )/5 //2+3=5
=90/5
=18
Madhav said:
4 years ago
Given Type 1 cost = Rs. 15.
Type 2 coat = Rs.20.
And the resultant mixture ratio = 2 : 3.
So to calculate Type 1 = 2/5 * 15 => 6/kg
Type 2 cost = 3/ 5* 20 => 12 /kg.
So 6 + 12 = 18/kg.
Type 2 coat = Rs.20.
And the resultant mixture ratio = 2 : 3.
So to calculate Type 1 = 2/5 * 15 => 6/kg
Type 2 cost = 3/ 5* 20 => 12 /kg.
So 6 + 12 = 18/kg.
(4)
Sankalp said:
1 decade ago
Hey guys it can be more simple suppose.
You took 2kg type1 and 3 kg type 2.
Type1 cost is 3o Rs and type2 cost is 60Rs.
So new mixture of 5 kg cost Rs 90.
So 1kg = 18 Rs.
You took 2kg type1 and 3 kg type 2.
Type1 cost is 3o Rs and type2 cost is 60Rs.
So new mixture of 5 kg cost Rs 90.
So 1kg = 18 Rs.
Anusha said:
9 years ago
According to the rule of the allegation, the cheaper (min) should be on the left side and dearer (max) on the right side. But why the principle is not used in the solutions?
Kajal said:
5 years ago
Type1(c) = 15rs ,type2(d)=20rs and ratio 2:3 find m.
Using a formula : x/y=d-m/m-c:
2/3 = 20-m/m-15,
2(m-15) = 3(20-m),
2m + 3m = 60+30,
5m = 90,
m = 18.
Using a formula : x/y=d-m/m-c:
2/3 = 20-m/m-15,
2(m-15) = 3(20-m),
2m + 3m = 60+30,
5m = 90,
m = 18.
Prasanna said:
1 decade ago
Type 1 15rs and Type 2 20rs ratio is 2:3 so,
Total 5 parts in which 2 parts type 1 and 3 parts type 2.
= (2*15+3*20)/5.
= 90/5.
= 18rs.
Total 5 parts in which 2 parts type 1 and 3 parts type 2.
= (2*15+3*20)/5.
= 90/5.
= 18rs.
(1)
Kumaresh said:
1 decade ago
Type 1 rice : Rs.15/kg.
2/5*15 = 2*3 = 6.
Type 2 rice : Rs.20/kg.
3/5*20 = 3*4 = 12.
The mixture worth is : 6+12 = Rs.18/kg.
2/5*15 = 2*3 = 6.
Type 2 rice : Rs.20/kg.
3/5*20 = 3*4 = 12.
The mixture worth is : 6+12 = Rs.18/kg.
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