Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 5)
5.
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
3 : 7
5 : 7
7 : 3
7 : 5
Answer: Option
Explanation:

By the rule of alligation:

Cost of 1 kg pulses of 1st kind Cost of 1 kg pulses of 2nd kind
Rs. 15 Mean Price
Rs. 16.50
Rs. 20
3.50 1.50

Required rate = 3.50 : 1.50 = 7 : 3.

Discussion:
42 comments Page 1 of 5.

Ladli said:   1 decade ago
How you got 3.50 and 1.50? Please tell me.

Manasa said:   1 decade ago
@ladli
(20-16.50):(16.50-15)=3.50:1.50=7:3

Sheetal said:   1 decade ago
If cost of 1kg pulses of 2'nd kind is=15

& 1'st kind is=20...
then what will be the ans?

Please tell me...

It's depends upon the mean price?

Viswajit said:   1 decade ago
Thank you manasa.

San said:   1 decade ago
If we swap 15 and 20 places.

Why can't it be 3:7 ? is there any rule?

Sathish said:   1 decade ago
How we get 3.50:1.50=7:3?

Shashank said:   1 decade ago
350/100:150/100=35:15=7:3

Prakash said:   1 decade ago
Its better to follow simple method boss.

Lets assume that price of A be 150 and B is 200.
Mixture to sell at 165.

Cheaper grocery profit = 165-150 = 15.
Dearer grocery loss = 200-165=35.
Ratios to sell at 165 is.

35
---- = 7:3
15

Atul Verma said:   1 decade ago
Let x kg of 1st is taken and (1-x) of 2nd is taken.

Then price of mixture will be:15*x+20*(1-x)=20-5x ----(1)

Given price of mixture is 16.5 -----(2)

From Equation (1) & (2)

20-5x=16.5

=> 5x=20-16.5
=> x=3.5/5
=> x=0.7

So,ratio is x:1-x i.e. 0.7:0.3 => 7:3 ans

Krishna teja said:   1 decade ago
Atul thank you :).


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