A and B entered into a partnership with certain investments. At the end of 8 months, A withdrew and collected back his money. A and B received profit in the ratio 5 ∶ 9 at the end of the year. If B had invested Rs. 36,000, then how much (in Rs.) had A invested?

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SSC CGL 2021 Tier-I (Held On : 19 April 2022 Shift 3)
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  1. 36,000
  2. 30,000
  3. 25,000
  4. 20,000

Answer (Detailed Solution Below)

Option 2 : 30,000
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Detailed Solution

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Given data:

Profit ratio = 5 : 9

Investment of B = Rs 36,000

Time for which B invested = 12

Time for which A invested = 8

Formula used:

Total profit = Investment × time

Calculation:

Total investment of A = A × 8

Total investment of B = 36,000 × 12 = 432,000

Ratio = 8A : 432,000

⇒  = 

⇒ A =  = Rs 30,000

The total investment of A is Rs 30,000.

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