A and B invest ₹4,500 and ₹1,800, respectively, in a business. A withdraws his investment after 6 months, while B continues for the entire year. What will be the profit ratio between A and B after 1 year?

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

Answer (Detailed Solution Below)

Option 1 : 5 : 4
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Detailed Solution

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Given:

Investment of A = ₹4,500

Investment of B = ₹1,800

A's investment duration = 6 months

B's investment duration = 12 months

Formula used:

Profit ratio = (Investment of A × Time of A) : (Investment of B × Time of B)

Calculation:

Profit ratio = (4500 × 6) : (1800 × 12)

⇒ Profit ratio = 27,000 : 21,600

⇒ Profit ratio = 5 : 4

∴ The profit ratio after 1 year is 5:4.

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