Ramneek starts a business with ₹1,45,600. After 5 months, Somesh joins him with ₹1,50,400. At the end of the year, in what ratio should they share the profit?

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  1. 78 : 47
  2. 23 : 41
  3. 53 : 48
  4. 39 : 49

Answer (Detailed Solution Below)

Option 1 : 78 : 47
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Detailed Solution

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Given:

Ramneek's investment = ₹1,45,600

Somesh's investment = ₹1,50,400

Ramneek's investment duration = 12 months

Somesh's investment duration = 7 months

Formula Used:

Ratio of profit sharing = (Investment × Time duration)

Calculation:

Ramneek's share = ₹1,45,600 × 12

⇒ Ramneek's share = 1,45,600 × 12 = 17,47,200

Somesh's share = ₹1,50,400 × 7

⇒ Somesh's share = 1,50,400 × 7 = 10,52,800

Ratio of profit sharing = Ramneek's share : Somesh's share

⇒ Ratio = 17,47,200 : 10,52,800

⇒ Ratio = 1747200 / 10,52,800 : 10,52,800 / 10,52,800

⇒ Ratio = 78 : 47

The ratio in which Ramneek and Somesh should share the profit is 78:47.

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