A bag contains Rs. 550 in the form of 50 p, 25 p and 20 p coins in the ratio 2 ∶ 3 ∶ 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is: 

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. Rs. 30
  2. Rs. 20
  3. Rs. 10
  4. Rs. 0

Answer (Detailed Solution Below)

Option 4 : Rs. 0
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Detailed Solution

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Given:

Total Rs. = Rs.550

Calculation:

Let the number of denominations of 50p = 2x

the number of denominations of 25p = 3x

the number of denominations of 20p = 5x

Total paisa = 550 × 100 = 55000 paise

According to the question:

⇒ (50 × 2x) + (25 × 3x) + (20 × 5x) = 55000

⇒ 100x + 75x + 100x = 55000

⇒ 275x = 55000

⇒ x = 55000/275 = 200

Amount in (Rs.) of 50p = 100x = (100 × 200) = 20000 paise = Rs.200

Amount in (Rs.) of 20p = 100x = (100 × 200) = 20000 paise = Rs.200

Required difference = 200 - 200 = 0

∴ The correct answer is 0.

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