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In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship? - Mathematics

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प्रश्न

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

योग
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उत्तर

Let x m be the length of the model ship when the height of the mast is 9 cm.

Now, according to question,

  Model ship Actual ship
Height of the mast (in m) `9/100` 12
Length of the ship (in m) x 28

∴ `(9/100)/x = 12/28`

⇒ `(9xx28)/(12xx100)` = x

⇒ 0.21 = x

Thus, the length of the model ship = 0.21m.

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अध्याय 13: Direct and Inverse Proportions - Exercise 13.1 [पृष्ठ २०८]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 13 Direct and Inverse Proportions
Exercise 13.1 | Q 6 | पृष्ठ २०८

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