A crate of mangoes contains one bruised mango for every 30 mangoes in the crate. If 3 out of every 4 bruised mangoes are considered unsalable, and there are 12 unsalable mangoes in the crate, then how many mangoes are there in the crate?

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  1. 480
  2. 320
  3. 420
  4. 240

Answer (Detailed Solution Below)

Option 1 : 480
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Detailed Solution

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Let "x" be the total number of mangoes in the crate.

Bruised mango = \(x\over 30\)

Unsalable mangoes = \(3\over4\)× \(x\over30\)

Given that, there are 12 unsalable mangoes in the crate.

Now,

\(3\over4\)× \(x\over30\) = 12

⇒ \(x\over40\) = 12

⇒ x = 480

Hence, there are 480 mangoes in the crate.

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