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.
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)
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)
Ishmeet said:
8 years ago
Simply (2(15)+3(20))/5=18.
(3)
Pooja said:
6 years ago
2:3
Assume it to be 2 kg and 3kg.
2x15 = 30 and 20x3 = 60.
30+60 = 90.
90/2+3 = 18.
Assume it to be 2 kg and 3kg.
2x15 = 30 and 20x3 = 60.
30+60 = 90.
90/2+3 = 18.
(1)
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)
SUDHARSAN MADURAI said:
1 decade ago
HAI GUYS.
SIMPLE WAY: (2:3).
15+3 = 18.
20-2 = 18.
SIMPLE WAY: (2:3).
15+3 = 18.
20-2 = 18.
(1)
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.
Amin said:
6 years ago
Not clear with the answer. Please explain me.
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.
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