A B and C invest to start a restaurant. The total investment was Rs. 3...
Let investment by A be Rs. N
Then investment by B will be N + 50000 and investment by C will be N + 25000,
Since total investment is Rs. 3 lakhs,
⇒ N + N + 50000 + N + 25000 = 300000
⇒ 3N = 225000
⇒ N = 75000
⇒ Investment by A = 75000
⇒ Investment by B = 125000
⇒ Investment by C = 100000
⇒ Ratio of Investment = 3 : 5 : 4
⇒ Ratio of profit = 3 : 5 : 4
Since Total profit = 14400
∴ Profit received by C = 4/12 × 14400 = 4800
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A B and C invest to start a restaurant. The total investment was Rs. 3...
Given Information:
- A, B, and C invested in a restaurant.
- The total investment was Rs. 3 lakhs.
- B invested Rs. 50,000 more than A.
- C invested Rs. 25,000 less than B.
- The profit at the end of the year was Rs. 14,400.
To find: C's share of the profit (in Rs).
Let's break down the given information step by step to solve the problem.
Step 1: Determine the individual investments of A, B, and C.
Let A's investment be x.
According to the given information:
B invested Rs. 50,000 more than A, so B's investment = x + Rs. 50,000.
C invested Rs. 25,000 less than B, so C's investment = (x + Rs. 50,000) - Rs. 25,000.
Step 2: Calculate the total investment.
The total investment was Rs. 3 lakhs, so we can write the equation:
x + (x + Rs. 50,000) + [(x + Rs. 50,000) - Rs. 25,000] = Rs. 3,00,000.
Simplifying the equation:
3x + Rs. 75,000 = Rs. 3,00,000.
Subtracting Rs. 75,000 from both sides:
3x = Rs. 2,25,000.
Dividing both sides by 3:
x = Rs. 75,000.
So, A's investment = Rs. 75,000.
B's investment = Rs. 75,000 + Rs. 50,000 = Rs. 1,25,000.
C's investment = Rs. 1,25,000 - Rs. 25,000 = Rs. 1,00,000.
Step 3: Calculate the shares of profit.
Since the total investment is Rs. 3 lakhs and A's investment is Rs. 75,000, A's share of profit can be calculated as:
A's share = (A's investment / Total investment) * Total profit
= (75,000 / 3,00,000) * 14,400
= (1/4) * 14,400
= Rs. 3,600.
Similarly, B's share of profit can be calculated as:
B's share = (B's investment / Total investment) * Total profit
= (1,25,000 / 3,00,000) * 14,400
= (5/12) * 14,400
= Rs. 6,000.
Finally, C's share of profit can be calculated as:
C's share = Total profit - (A's share + B's share)
= 14,400 - (3,600 + 6,000)
= 14,400 - 9,600
= Rs. 4,800.
Therefore, C's share of the profit is Rs. 4,800.