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A, B and C are three partners in a business. The profit share of A is 3/16 of the total profit and B's share is of the total profit. If C receives Rs. 243, then the amount received by B will be ?
- a)Rs. 90
- b)Rs. 96
- c)Rs. 108
- d)Rs. 120
Correct answer is option 'C'. Can you explain this answer?
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A, B and C are three partners in a business. The profit share of A is ...
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A, B and C are three partners in a business. The profit share of A is ...
To find the amount received by partner B, we need to first calculate the profit share of A and B.
Given:
Profit share of A = 3/16 of the total profit
Profit share of C = Rs. 243
Let's assume the total profit to be P.
Profit share of A = (3/16)P
Profit share of C = Rs. 243
To find the profit share of B, we need to subtract the profit shares of A and C from the total profit.
Profit share of B = Total profit - Profit share of A - Profit share of C
Step 1: Finding the Total Profit
We can find the total profit by adding the profit shares of A, B, and C.
Total profit = Profit share of A + Profit share of B + Profit share of C
Step 2: Finding the Profit Share of B
Now that we know the total profit, we can substitute the values in the equation for the profit share of B.
Profit share of B = Total profit - Profit share of A - Profit share of C
Let's solve the equation.
Step 1: Finding the Total Profit
Total profit = (3/16)P + Profit share of B + Rs. 243
Step 2: Finding the Profit Share of B
Profit share of B = Total profit - (3/16)P - Rs. 243
Since the profit share of B is a fraction of the total profit, we can express it as a fraction.
Profit share of B = (x/16)P
Now, we can substitute the value of the profit share of B in the equation.
(x/16)P = Total profit - (3/16)P - Rs. 243
Simplifying the equation,
xP/16 = (16P - 3P - 243) / 16
xP/16 = (13P - 243) / 16
Cross-multiplying,
xP = 13P - 243
xP - 13P = -243
(x - 13)P = -243
Since P cannot be negative, x - 13 must be negative.
x - 13 < />
x < />
Therefore, the profit share of B must be less than 13/16 of the total profit.
Since the given options are all greater than 13/16, there seems to be an error in the question or options provided. Please double-check the question and options to find the correct answer.
Given:
Profit share of A = 3/16 of the total profit
Profit share of C = Rs. 243
Let's assume the total profit to be P.
Profit share of A = (3/16)P
Profit share of C = Rs. 243
To find the profit share of B, we need to subtract the profit shares of A and C from the total profit.
Profit share of B = Total profit - Profit share of A - Profit share of C
Step 1: Finding the Total Profit
We can find the total profit by adding the profit shares of A, B, and C.
Total profit = Profit share of A + Profit share of B + Profit share of C
Step 2: Finding the Profit Share of B
Now that we know the total profit, we can substitute the values in the equation for the profit share of B.
Profit share of B = Total profit - Profit share of A - Profit share of C
Let's solve the equation.
Step 1: Finding the Total Profit
Total profit = (3/16)P + Profit share of B + Rs. 243
Step 2: Finding the Profit Share of B
Profit share of B = Total profit - (3/16)P - Rs. 243
Since the profit share of B is a fraction of the total profit, we can express it as a fraction.
Profit share of B = (x/16)P
Now, we can substitute the value of the profit share of B in the equation.
(x/16)P = Total profit - (3/16)P - Rs. 243
Simplifying the equation,
xP/16 = (16P - 3P - 243) / 16
xP/16 = (13P - 243) / 16
Cross-multiplying,
xP = 13P - 243
xP - 13P = -243
(x - 13)P = -243
Since P cannot be negative, x - 13 must be negative.
x - 13 < />
x < />
Therefore, the profit share of B must be less than 13/16 of the total profit.
Since the given options are all greater than 13/16, there seems to be an error in the question or options provided. Please double-check the question and options to find the correct answer.
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A, B and C are three partners in a business. The profit share of A is 3/16of the total profit and B's share is of the total profit. If C receives Rs. 243, then the amount received by B will be ?a)Rs. 90b)Rs. 96c)Rs. 108d)Rs. 120Correct answer is option 'C'. Can you explain this answer?
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