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Two partners invest Rs 12500 and Rs 8500 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs 240 more than the other, find the total profit made in the business.
  • a)
    3250
  • b)
    3150
  • c)
    4050
  • d)
    3550
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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Two partners invest Rs 12500 and Rs 8500 respectively in a business an...
Given:
- Partner 1 invested Rs 12500
- Partner 2 invested Rs 8500
- 60% of the profit to be divided equally between them
- Remaining profit to be treated as interest on capital
- One partner gets Rs 240 more than the other

To find: Total profit made in the business

Let the total profit be P.

Calculation:

- Total investment = Rs 21000 (Rs 12500 + Rs 8500)

- Let x be the amount of profit that each partner receives from the 60% of the profit that is divided equally between them.

- 60% of the profit = 0.6P
- Amount of profit each partner receives = x

- Total profit distributed equally = 2x
- Remaining profit to be treated as interest on capital = (P - 2x)

- Partner 1's share of interest = (P - 2x) * (12500/21000)
- Partner 2's share of interest = (P - 2x) * (8500/21000)

- It is given that one partner gets Rs 240 more than the other.
- Let's assume that Partner 1 gets Rs 240 more.

- Partner 1's total share = x + [(P - 2x) * (12500/21000)] + 240
- Partner 2's total share = x + [(P - 2x) * (8500/21000)]

- As per the given condition,

Partner 1's share - Partner 2's share = 240

(x + [(P - 2x) * (12500/21000)] + 240) - (x + [(P - 2x) * (8500/21000)]) = 240

Simplifying the above equation, we get

(P - 2x) = 3150

Substituting this value in the equation for total profit, we get

P = 2x + (P - 2x)

P = 2x + 3150

P = 2x + (P - 2x)

P = 2x + 3150

P = 2x + (P - 2x)

P = 2x + 3150

P = Rs 3150

Therefore, the total profit made in the business is Rs 3150.
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