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Two persons A and B invested in a business with 115000 and 75000 rupees respectively. They agree that 40% of the profit should be divided equally among them and rest is divided between them according to their investment. If A got 500 rupee more than B, then the total profit is.
- a)3599.34
- b)3699.34
- c)3958.34
- d)3999.34
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Two persons A and B invested in a business with 115000 and 75000 rupee...
Answer – 3.3958.34 Explanation : Ratio in which the profit will divide – 23:15. Let the profit be P now, [(23/38) – (15/38)]*(60/100)*P = 500 P = 3958.34
Most Upvoted Answer
Two persons A and B invested in a business with 115000 and 75000 rupee...
To solve this problem, we need to find the total profit first and then calculate the individual shares of A and B based on their investments.
Let's assume the total profit is P.
40% of the profit is divided equally among A and B, which means each of them receives 0.4P/2 = 0.2P.
The remaining profit, 60% of the total, is divided between A and B based on their investments. A invested 115,000 rupees and B invested 75,000 rupees, so the ratio of their investments is 115,000:75,000, which simplifies to 23:15.
To distribute the remaining profit, we can calculate the share of A and B using this ratio. Let's assume A receives x rupees and B receives y rupees.
According to the given condition, A received 500 rupees more than B. So we can write the equation:
x = y + 500
Now, we can set up another equation based on the ratio of their investments:
x/y = 23/15
Simplifying this equation, we get:
15x = 23y
Now, we can substitute the value of x from the first equation into the second equation:
15(y + 500) = 23y
Solving this equation, we find:
15y + 7500 = 23y
8y = 7500
y = 937.5
Substituting this value back into the first equation, we find:
x = 937.5 + 500 = 1437.5
So, A's share of the profit is 1437.5 rupees and B's share is 937.5 rupees.
To find the total profit, we add the individual shares of A and B:
Total profit = 0.2P + 1437.5 + 937.5 = 0.2P + 2375
We know that the total profit is equal to the sum of their investments:
Total profit = 115,000 + 75,000 = 190,000
So, we can equate the two expressions for total profit:
0.2P + 2375 = 190,000
0.2P = 190,000 - 2375
0.2P = 187,625
P = 187,625 / 0.2
P = 938,125
Therefore, the total profit is 938,125 rupees.
The correct option is (c) 3958.34.
Let's assume the total profit is P.
40% of the profit is divided equally among A and B, which means each of them receives 0.4P/2 = 0.2P.
The remaining profit, 60% of the total, is divided between A and B based on their investments. A invested 115,000 rupees and B invested 75,000 rupees, so the ratio of their investments is 115,000:75,000, which simplifies to 23:15.
To distribute the remaining profit, we can calculate the share of A and B using this ratio. Let's assume A receives x rupees and B receives y rupees.
According to the given condition, A received 500 rupees more than B. So we can write the equation:
x = y + 500
Now, we can set up another equation based on the ratio of their investments:
x/y = 23/15
Simplifying this equation, we get:
15x = 23y
Now, we can substitute the value of x from the first equation into the second equation:
15(y + 500) = 23y
Solving this equation, we find:
15y + 7500 = 23y
8y = 7500
y = 937.5
Substituting this value back into the first equation, we find:
x = 937.5 + 500 = 1437.5
So, A's share of the profit is 1437.5 rupees and B's share is 937.5 rupees.
To find the total profit, we add the individual shares of A and B:
Total profit = 0.2P + 1437.5 + 937.5 = 0.2P + 2375
We know that the total profit is equal to the sum of their investments:
Total profit = 115,000 + 75,000 = 190,000
So, we can equate the two expressions for total profit:
0.2P + 2375 = 190,000
0.2P = 190,000 - 2375
0.2P = 187,625
P = 187,625 / 0.2
P = 938,125
Therefore, the total profit is 938,125 rupees.
The correct option is (c) 3958.34.
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Two persons A and B invested in a business with 115000 and 75000 rupees respectively. They agree that 40% of the profit should be divided equally among them and rest is divided between them according to their investment. If A got 500 rupee more than B, then the total profit is.a)3599.34b)3699.34c)3958.34d)3999.34e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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