Aptitude - Alligation or Mixture - Discussion
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Read more:"Hold a true friend with both hands."
- (Proverb)
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| 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?
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| [A]. |
3 : 7 | [B]. |
5 : 7 | | [C]. |
7 : 3 | [D]. |
7 : 5 |
Answer: Option C
Explanation:
By the rule of alligation:
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Cost of 1 kg pulses of 1st kind
Cost of 1 kg pulses of 2nd kind
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| Rs. 15 |
Mean Price
Rs. 16.50
| Rs. 20 |
| 3.50 |
1.50 |
 Required rate = 3.50 : 1.50 = 7 : 3.
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Ladli said:
(Wed, Jun 8, 2011 07:23:35 AM)
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| How you got 3.50 and 1.50? Please tell me. |
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Manasa said:
(Fri, Jun 10, 2011 08:12:29 AM)
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@ladli
(20-16.50):(16.50-15)=3.50:1.50=7:3 |
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Sheetal said:
(Fri, Aug 19, 2011 08:22:45 PM)
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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? |
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Viswajit said:
(Sat, Sep 10, 2011 07:23:53 PM)
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| Thank you manasa. |
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San said:
(Mon, Sep 19, 2011 06:16:16 AM)
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If we swap 15 and 20 places.
Why can't it be 3:7 ? is there any rule? |
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Sathish said:
(Wed, Jan 4, 2012 06:48:57 PM)
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| How we get 3.50:1.50=7:3? |
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Shashank said:
(Wed, Jan 18, 2012 03:55:46 AM)
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| 350/100:150/100=35:15=7:3 |
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Prakash said:
(Fri, Feb 10, 2012 12:56:35 PM)
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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 |
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Atul Verma said:
(Thu, May 17, 2012 11:34:59 PM)
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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 |
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Krishna Teja said:
(Tue, Aug 28, 2012 12:53:45 AM)
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| Atul thank you :). |
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Vinod said:
(Fri, Dec 28, 2012 08:37:05 AM)
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Let x=15,y=20.
We know that x+y=16.50.
We can write in eqtion form:
15x+20y = 16.50(x+y)
16.50x-15x = 20y-16.50y
1.50x =3.50y
x/y = 3.50/1.50
Just we can convert
From eq x = 350/100=35
Eqtion y = 150/100=15
There fore ratio is
x:y =35:15.
Then answer is 7:3. |
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Anup said:
(Mon, Dec 31, 2012 09:02:44 PM)
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@Atul.
Really superb solution. Unlike the theoretical approach this is quite simple to understand. |
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Kousik Maji said:
(Sat, Feb 9, 2013 08:16:19 PM)
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Let x kg first variety mixed with y kg of second variety.
So total cost of(x+y) kg is Rs. 15x+20y.
So cost of 1 kg mixture is Rs. (15x+20y)/x+y.
Now according to question,
(15x+20y)/(x+y)=16.50
=> (15x+20y)/(x+y)=33/2
=>33x+33y=30x+40y
=>3x=7y
=> x:y=7:3.
Answer is 7:3. |
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