If Rs. 5925 is divided among A, B, and C such that the amount received by A is three-fourth of that received by B and the amount received by C is Rs.125 less than that received by B, find the difference between the amount received by A and that by C.

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RRB PO Prelims Memory Based Paper (Held On: 4 August 2024 Shift 4)
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  1. 465
  2. 425
  3. 1445
  4. 495
  5. 445

Answer (Detailed Solution Below)

Option 2 : 425
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Detailed Solution

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Calculation

Let B = x
A = [3x/4]

C = x − 125

Total amount is 5925.

[3x/4] + x + (x − 125) = 5925

⇒ 11x – 500 = 5925 x 4

⇒ 11x = 24200

⇒ x = 24200/11 = 2200

A’s amount = [3/4] × 2200 = 1650

C’s amount = 2200 – 125 = 2075

So, Required Difference = 2075 – 1650 = 425

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