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Question

If 5 writers can write 50 books working 10 hours a day, then how many books can be made when 15 writers work for 20 hours a day?

A
250
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B
300
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C
185
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D
198
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Solution

The correct option is B 300

More writers means more books can be made, so it is in direct proportion. The proportion is 5:15∷50:x

If more hours spend, then more books can be made, so it is in direct proportion. The proportion is 10:20∷50:x

We know that the product of extremes = the product of means.

5×10×x=15×50×20

x=(15×50×20)/(5×10)=15×20

=300


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