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# In each production lot for a certain toy, 25 percent of the

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In each production lot for a certain toy, 25 percent of the [#permalink]  09 Feb 2004, 12:36
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In each production lot for a certain toy, 25 percent of the toys are red and 75 percent of the toys are blue. Half the toys are size A and half are size B. If 10 out of a lot of 100 toys are red and size A, how many of the toys are blue and size B?

(A) 15 (B) 25 (C) 30
(D) 35 (E) 40

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Attain Moksha

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Draw a diagram. You will find out that % that are Red+SizeA is 12.5%. % that are Blue+SizeB is 37.5%. Therefore, 37.5% is 3 times the 12.5% and 10 * 3 = 30. Answer is C
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Paul

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From the problem we know that 50 are size A and 50 are size B out of 100
Since 10 are Size A and Red 40 must be size A and Blue
But out of 100, 75 are Blue
then Blue and size B must be 75-40 = 35

I get 35 as the answer.
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you're right. Kpadma did the same and I realized my error. Somehow I used %s and i erroneously assumed that there is an equal proportion of blue toys that were size A&B and the same was assumed of red toys
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Paul

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Hi satgates,

I am working and busy. Can you please wait for a day atleast to post the answer. I did the same mistake and got yelled ( almost ). You will loose a lot if you post the answer quickly because many people will not post their working once they see the answer and they might have a innovative method to solve it.

Thanks,
Anand.
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35.

Drawing a tabular diag really speeds up the solution

R B
A 10 50

B 15 35 50

25 75 100

Initially I had difficulty in solving these kind of problems but once I started tabulating them I can solve even the hardest in < 1.5 min.

Hope this helps
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