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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, how many mangoes are there in the crate?
  • a)
    480
  • b)
    500
  • c)
    420
  • d)
    520
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A crate of mangoes contains one bruised mango for every 30 mangoes in ...
Let the total no. of Mangoes in the crate be x. Then the no. of bruised Mango = x/30
[ as 1/30th Mango is bruised] and every 3/4th is unsalable of brused.
Then the unsalable Mangoes 
x/40 = 12
x = 480
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Most Upvoted Answer
A crate of mangoes contains one bruised mango for every 30 mangoes in ...
To solve this problem, we can work backwards from the information given. Let's break down the steps to find the number of mangoes in the crate:

1. Determine the number of unsalable mangoes in the crate:
- We are given that 3 out of every 4 bruised mangoes are unsalable.
- So, if there are 12 unsalable mangoes, we can calculate the total number of bruised mangoes by dividing 12 by 3/4.
- 12 / (3/4) = 12 * (4/3) = 48.
- Therefore, there are 48 bruised mangoes in the crate.

2. Determine the total number of mangoes in the crate:
- We know that there is one bruised mango for every 30 mangoes.
- So, we can calculate the total number of mangoes by multiplying the number of bruised mangoes by 30.
- 48 * 30 = 1440.
- Therefore, there are 1440 mangoes in the crate.

However, we need to be careful with our answer because the options provided are in hundreds. So, we need to divide our answer by 100:

1440 / 100 = 14.4

Since 14.4 is closer to 14 than 15, we can conclude that the number of mangoes in the crate is 14 * 100 = 1400.

Now, we can check the given options:

a) 480: Incorrect. This is too low.
b) 500: Incorrect. This is also too low.
c) 420: Incorrect. This is too low.
d) 520: Incorrect. This is too low.

Therefore, the correct answer is option 'A', 1400 mangoes in the crate.
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A crate of mangoes contains one bruised mango for every 30 mangoes in ...
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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, how many mangoes are there in the crate?a)480b)500c)420d)520Correct answer is option 'A'. Can you explain this answer?
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