A, B and C invested ₹10,000, ₹15,000 and ₹20,000 respectively. After one year each of A and B invested ₹5,000 more, while C withdrew ₹10,000. What will be the ratio of profit of A, B and C after three years from starting? 

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SSC GD Constable (2022) Official Paper (Held On : 06 Feb 2023 Shift 1)
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  1. 11 
  2. 4
  3. 4
  4. 11

Answer (Detailed Solution Below)

Option 1 : 8  11 
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Detailed Solution

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Given:

Investments of A = ₹10,000 for 1 year and ₹15,000 for 2 years,

B = ₹15,000 for 1 year and ₹20,000 for 2 years,

C = ₹20,000 for 1 year and ₹10,000 for 2 years.

Concept:

Ratio of profits = Ratio of investments if the rate of profit is the same

Calculation:

⇒ Total investment of A = 10,000 × 1 + 15,000 × 2 = ₹40,000

⇒ Total investment of B = 15,000 × 1 + 20,000 × 2 = ₹55,000

⇒ Total investment of C = 20,000 × 1 + 10,000 × 2 = ₹40,000

⇒ Ratio of profits = Total investment of A ∶ Total investment of B ∶ Total investment of C = 40,000 ∶ 55,000 ∶ 40,000 = 8 ∶ 11 ∶ 8

Hence, the ratio of profits of A, B, and C after three years from starting is 8 ∶ 11 ∶ 8.

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