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The ratio of the turnover of two companies, XYZ and ABC is 9:8 and the ratio of their expenditures is 17: 15 respectively. Profit is calculated as the difference between turnover and expenditure. If each of the companies posted a profit of 2500, what will be the difference between turnover of XYZ and expenditure of ABC?
- a)7400
- b)7300
- c)7500
- d)7600
- e)7250
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of the turnover of two companies, XYZ and ABC is 9:8 and th...
Suppose the turnovers of companies XYZ and ABC are 9m and 8m respectively and their expenditures are 17n and 15n respectively.
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So, 9m - 17n = 2500 (i)
And 8m - 15n = 2500 (ii)
9 x (ii) - 8 x (i) => 72m - 135n - 72m + 136n = 22500 -20000
=> n = 2500
Putting in eqn (i), we get, 9m - 42500 = 2500
=> 9m = 45000
=> m = 5000
Turnover of XYZ is 5000*9= 45000 and expenditure of ABC is 2500*15 = 37500.
The difference is 7500
Hence option 3.
Most Upvoted Answer
The ratio of the turnover of two companies, XYZ and ABC is 9:8 and th...
Given:
The ratio of turnover of two companies XYZ and ABC is 9:8.
The ratio of their expenditures is 17:15.
Both companies posted a profit of 2500.
To find:
The difference between the turnover of XYZ and the expenditure of ABC.
Solution:
Step 1: Calculate the turnover and expenditure of each company.
Let the common ratio of turnover be 9x and 8x for XYZ and ABC respectively.
Let the common ratio of expenditure be 17y and 15y for XYZ and ABC respectively.
The profit for each company can be calculated as follows:
Profit of XYZ = Turnover of XYZ - Expenditure of XYZ = 9x - 17y
Profit of ABC = Turnover of ABC - Expenditure of ABC = 8x - 15y
Given that both companies posted a profit of 2500, we can write the following equations:
9x - 17y = 2500 ...(1)
8x - 15y = 2500 ...(2)
Step 2: Solve the equations to find the values of x and y.
Multiplying equation (1) by 8 and equation (2) by 9, we get:
72x - 136y = 20000 ...(3)
72x - 135y = 22500 ...(4)
Subtracting equation (4) from equation (3), we get:
-y = -2500
y = 2500
Substituting the value of y in equation (1), we get:
9x - 17(2500) = 2500
9x - 42500 = 2500
9x = 45000
x = 5000
Step 3: Calculate the turnover and expenditure for each company.
Turnover of XYZ = 9x = 9 * 5000 = 45000
Expenditure of XYZ = 17y = 17 * 2500 = 42500
Turnover of ABC = 8x = 8 * 5000 = 40000
Expenditure of ABC = 15y = 15 * 2500 = 37500
Step 4: Calculate the difference between the turnover of XYZ and the expenditure of ABC.
Difference = Turnover of XYZ - Expenditure of ABC = 45000 - 37500 = 7500
Therefore, the difference between the turnover of XYZ and the expenditure of ABC is 7500.
Hence, the correct answer is option 'C'.
The ratio of turnover of two companies XYZ and ABC is 9:8.
The ratio of their expenditures is 17:15.
Both companies posted a profit of 2500.
To find:
The difference between the turnover of XYZ and the expenditure of ABC.
Solution:
Step 1: Calculate the turnover and expenditure of each company.
Let the common ratio of turnover be 9x and 8x for XYZ and ABC respectively.
Let the common ratio of expenditure be 17y and 15y for XYZ and ABC respectively.
The profit for each company can be calculated as follows:
Profit of XYZ = Turnover of XYZ - Expenditure of XYZ = 9x - 17y
Profit of ABC = Turnover of ABC - Expenditure of ABC = 8x - 15y
Given that both companies posted a profit of 2500, we can write the following equations:
9x - 17y = 2500 ...(1)
8x - 15y = 2500 ...(2)
Step 2: Solve the equations to find the values of x and y.
Multiplying equation (1) by 8 and equation (2) by 9, we get:
72x - 136y = 20000 ...(3)
72x - 135y = 22500 ...(4)
Subtracting equation (4) from equation (3), we get:
-y = -2500
y = 2500
Substituting the value of y in equation (1), we get:
9x - 17(2500) = 2500
9x - 42500 = 2500
9x = 45000
x = 5000
Step 3: Calculate the turnover and expenditure for each company.
Turnover of XYZ = 9x = 9 * 5000 = 45000
Expenditure of XYZ = 17y = 17 * 2500 = 42500
Turnover of ABC = 8x = 8 * 5000 = 40000
Expenditure of ABC = 15y = 15 * 2500 = 37500
Step 4: Calculate the difference between the turnover of XYZ and the expenditure of ABC.
Difference = Turnover of XYZ - Expenditure of ABC = 45000 - 37500 = 7500
Therefore, the difference between the turnover of XYZ and the expenditure of ABC is 7500.
Hence, the correct answer is option 'C'.
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The ratio of the turnover of two companies, XYZ and ABC is 9:8 and the ratio of their expenditures is 17: 15 respectively. Profit is calculated as the difference between turnover and expenditure. If each of the companies posted a profit of 2500, what will be the difference between turnover of XYZ and expenditure of ABC?a) 7400b) 7300c) 7500d) 7600e) 7250Correct answer is option 'C'. Can you explain this answer?
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