Certain amount 'x' is distributed to three persons A, B, C. A gets 25% share of x. Twice the difference of B and C is equal to the share of A. Then the ratio in which A, B, C get the amounts is

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Telangana Police SI Prelims 2022 Official Paper
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  1. 26 : 72 : 59
  2. 4 : 7 : 5
  3. 8 : 13 : 9
  4. 2 : 7 : 6

Answer (Detailed Solution Below)

Option 2 : 4 : 7 : 5
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CT 1: Indian Polity (Making of the Constitution రాజ్యాంగాన్ని రూపొందించడం) Part 1
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Detailed Solution

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Given:

Amount distributed = x

A gets 25% of x = (25/100) × x = x/4

Twice the difference of B and C = Share of A

2(B - C) = A

Calculations:

A = x/4

2(B - C) = A

⇒ 2(B - C) = x/4

⇒ B = C + x/8

Total amount distributed:

⇒ A + B + C = x

⇒ x/4 + (C + x/8) + C = x

⇒ x/4 + x/8 + 2C = x

⇒ 3x/8 + 2C = x

⇒ 2C = x - 3x/8

⇒ C = (5x/16)

Now, B = C + x/8

⇒ B = (5x/16) + (2x/16) = 7x/16

A = x/4 = 4x/16

Now, ratio A : B : C = (4x/16) : (7x/16) : (5x/16)

⇒ 4 : 7 : 5

∴ The correct answer is option (2).

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