8 salesmen sell 50 box of shoes working 20 hours a day, then how many boxes of shoes can be sold when 24 salesmen work for 30 hours a day?

225

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130

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120

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135

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Solution

The correct option is A 225
More salesmen means more boxes can be sold, so it is in direct proportion. The proportion is 8:24∷50:x

If more hours spend, then more boxes can be sold, so it is in direct proportion. The proportion is 20:30∷50:x

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

8×20×x=24×50×30

x=(24×50×30)/(8×20)=225

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