Ajay and Baskar started a partnership business investing some amount in the ratio of 3∶5. Chand joined them after six months with an amount equal to that of Baskar. In what proportion should the profit at the end of one year be distributed among Ajay, Baskar and Chand?

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  1. 6 : 7 : 5
  2. 5 : 10 : 6
  3. 3 : 7 : 5
  4. 6 : 10 : 5

Answer (Detailed Solution Below)

Option 4 : 6 : 10 : 5
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given:

Ajay's investment : Baskar's investment = 3 : 5

Concept:

Investment ∝ Profit

Time ∝ Profit

Profit ∝ (Investment × Time)

Calculation:

Ajay's time = 12 months

Baskar's time = 12 months

Chand's time = 12 - 6 = 6 months

The ratio of their profit = Ajay's profit : Baskar's profit : Chand's profit

⇒ (3 × 12) : (5 × 12) : [5 × (12 - 6)]

⇒ (3 × 12) : (5 × 12) : (5 × 6)

⇒ (3 × 2) : (5 × 2) : (5 × 1)

⇒  6 : 10 : 5

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