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A, B and C invested Rs. 47000 for more than B and B Rs. 5000 more than C, then out of total profit of Rs. 4700, C receives ?
  • a)
    Rs. 1200
  • b)
    Rs. 4500
  • c)
    Rs. 1000
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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A, B and C invested Rs. 47000 for more than B and B Rs. 5000 more than...
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A, B and C invested Rs. 47000 for more than B and B Rs. 5000 more than...
To solve this problem, let's assume that C invested x amount of money.

Given:
B invested Rs. 5000 more than C, so B's investment is (x + 5000) Rs.
A, B, and C invested a total of Rs. 47000, so A's investment is (47000 - x - (x + 5000)) Rs.

Calculating the share of each person:
Let's assume that the profit received by C is y Rs.

The profit share of A, B, and C can be calculated by dividing their investments proportionally:
A's profit share = (A's investment / Total investment) * Total profit
B's profit share = (B's investment / Total investment) * Total profit
C's profit share = (C's investment / Total investment) * Total profit

Given that the total profit is Rs. 4700, we can calculate the profit shares of A, B, and C.

Now let's solve the problem step by step:

1. Calculating the total investment:
The total investment is the sum of the individual investments:
Total investment = A's investment + B's investment + C's investment
Total investment = (47000 - x - (x + 5000)) + (x + 5000) + x
Total investment = 47000

2. Calculating the profit shares:
A's profit share = [(47000 - x - (x + 5000)) / 47000] * 4700
B's profit share = [(x + 5000) / 47000] * 4700
C's profit share = [x / 47000] * 4700
Note: We are multiplying each share by the total profit to get the actual profit amount.

3. Finding the value of x:
We know that the profit share of C is y Rs, so we can equate it to the calculated value of C's profit share:
y = [x / 47000] * 4700
Simplifying this equation, we get:
47000y = 4700x
10y = x

4. Substituting the value of x in the profit share equations:
A's profit share = [(47000 - x - (x + 5000)) / 47000] * 4700
B's profit share = [(x + 5000) / 47000] * 4700
C's profit share = [x / 47000] * 4700

Substituting x = 10y:
A's profit share = [(47000 - 10y - (10y + 5000)) / 47000] * 4700
B's profit share = [(10y + 5000) / 47000] * 4700
C's profit share = [10y / 47000] * 4700

5. Simplifying the profit share equations:
A's profit share = [(47000 - 20y - 5000) / 47000] * 4700
B's profit share = [(10y + 5000) / 47000] * 4700
C's profit share = [10y / 47000] * 4700

6. Summing up the profit shares:
The sum of A's, B's, and
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A, B and C invested Rs. 47000 for more than B and B Rs. 5000 more than C, then out of total profit of Rs. 4700, C receives ?a)Rs. 1200b)Rs. 4500c)Rs. 1000d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B and C invested Rs. 47000 for more than B and B Rs. 5000 more than C, then out of total profit of Rs. 4700, C receives ?a)Rs. 1200b)Rs. 4500c)Rs. 1000d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C invested Rs. 47000 for more than B and B Rs. 5000 more than C, then out of total profit of Rs. 4700, C receives ?a)Rs. 1200b)Rs. 4500c)Rs. 1000d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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