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:
Rs. 18
Rs. 18.50
Rs. 19
Rs. 19.50
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 2 of 2.

Lakshmi g said:   9 years ago
Please give the formula to solve the problem.

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.

Ishmeet said:   8 years ago
Simply (2(15)+3(20))/5=18.
(3)

Amin said:   6 years ago
Not clear with the answer. Please explain me.

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.
(1)

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.

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.
(4)

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.
(5)


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