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Bunuel
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Could you please explain how you got to 8:10 and 4:5?
bobnil
Let Cost price of mixed rice =x
Then, 40= x(1+1/4)
X=32
Using scale method (weighted avg),
24----32----42
8 : 10
4 : 5

Ordinary rice / basmati rice = 5/4
25/ B = 5/4
B= 20
ANS C

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8:10 is the distance from each price to the mixed rice price: 32-24=8 and 42-32=10.
He simplified it to 4:5 (by dividing by 2)

Here's an explanation of the scaling method: https://gmatclub.com/forum/weighted-ave ... 06999.html
LukaT022
Could you please explain how you got to 8:10 and 4:5?
bobnil
Let Cost price of mixed rice =x
Then, 40= x(1+1/4)
X=32
Using scale method (weighted avg),
24----32----42
8 : 10
4 : 5

Ordinary rice / basmati rice = 5/4
25/ B = 5/4
B= 20
ANS C

Posted from my mobile device
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Easiest Explanation:

Since 25% profit is to be made, that means 125% of rice should cost 40$/KG, then that means, actually 100% rice should just be mixed so that it costs around 32$/KG

Now let's just substitute to get it:

(42$ rice * xKgs + 24$ rice * 25 Kgs) / (25 + x)Kgs = 32$ rice
Solving this gets 10x = 200 => x = 20Kgs
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How many kgs of Basmati rice costing $42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing $24 per kg so that he makes a profit of 25% on selling the mixture at $40/kg?


A. 12.5 kgs
B. 16.0 kgs
C. 20.0 kgs
D. 200.0 kgs
E. 205.0 kgs


One way to solve this:

Make an equation,


Let’s say that the total Kgs of Basmati Rice the shopkeeper mixes with the normal rice is X.


The total money of selling that mixture will be : (42 * X) + (24 * 25)
Now this isn’t an equation, so how could we make an equation with this information?

Since we know that the total weight of the mixture will be X + 25 Kgs , and each Kg will be sold for 40 $ then that means that the total cost after the shopkeeper mixes the two rices will be : (X + 25) * 40

We know that (X + 25) * 40 Is 25% more than (42 * X) + (24 * 25) then that means to equalise both expressions, we multiply the latter by 1.25 ( since 25% more means to multiply by 1.25)

1.25 ( 42X + 600) = 40X + 1000
52.50X + 750 = 40X + 1000

In the end we get : X = 20 Kgs

Meaning that the answer = C
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