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

Please explain the answer in length.
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Attain Moksha

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09 Feb 2004, 13:26

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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09 Feb 2004, 14:05

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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09 Feb 2004, 14:14

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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09 Feb 2004, 14:24

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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09 Feb 2004, 14:51

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

[#permalink] 09 Feb 2004, 14:51

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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

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

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