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The sum of money is to be divided amongst A, B and C in the respective ratio of 3 : 4 : 5 and another sum of money to be divided between E and F equally. If F got Rs. 1050 less than A, how much amount did B receive? 
  • a)
    Rs. 750 
  • b)
    Rs. 2000 
  • c)
    Rs. 1500 
  • d)
    Cannot be determined 
  • e)
    None of these 
Correct answer is option 'D'. Can you explain this answer?
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The sum of money is to be divided amongst A, B and C in the respective...
Given:
Ratio of division of money between A, B, and C = 3:4:5
Ratio of division of money between E and F = 1:1 (equally divided)

Let the total sum of money to be divided between A, B, and C be 3x, 4x, and 5x respectively.
And let the sum of money to be divided between E and F be y.

According to the given information, F got Rs. 1050 less than A.
So, the amount received by F = Amount received by A - Rs. 1050

The total amount of money received by A, B, C, E, and F = 3x + 4x + 5x + y + y
= 12x + 2y

Now, let's form the equations using the given information.

Equation 1: The total amount of money received by A, B, C, E, and F = 12x + 2y

Equation 2: F got Rs. 1050 less than A
Amount received by F = Amount received by A - Rs. 1050
= 4x - Rs. 1050

Since the amount received by E and F is equally divided, we can say y = 2x.

Substituting the value of y in Equation 1, we get:
12x + 2y = 12x + 4x
= 16x

Now, substituting the value of y in Equation 2, we get:
4x - Rs. 1050 = 16x

Simplifying the equation, we have:
16x - 4x = Rs. 1050
12x = Rs. 1050
x = Rs. 1050/12
x = Rs. 87.5

To find the amount received by B, we substitute the value of x in the equation:
Amount received by B = 4x
= 4 * 87.5
= Rs. 350

Therefore, B received Rs. 350.

Hence, the correct answer is option D) Cannot be determined.
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The sum of money is to be divided amongst A, B and C in the respective ratio of 3 : 4 : 5 and another sum of money to be divided between E and F equally. If F got Rs. 1050 less than A, how much amount did B receive?a)Rs. 750b)Rs. 2000c)Rs. 1500d)Cannot be determinede)None of theseCorrect answer is option 'D'. Can you explain this answer?
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