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Question

On a scale of map $$1.5 \,cm$$ represents $$24\, km$$. If the distance between two points on the map is $$76.5\, cm$$, then the actual distance between these points is.


A
1071km
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B
1224km
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C
1377km
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D
None of these
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Solution

The correct option is B $$1224\, km$$
Let the actual distance be $$x\,km.$$

$$\Rightarrow$$  More distance on the map, more is actual distance ( Direct proportion )

$$\therefore$$  $$1.5 : 76.5 :: 24 : x$$

$$\therefore$$  $$\dfrac{1.5}{76.5}=\dfrac{24}{x}$$

$$\therefore$$  $$x=\dfrac{24\times 76.5}{1.5}$$

$$\therefore$$  $$x=1224\,km$$

Mathematics

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