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A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each?
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A man sold a chair and table together for rupees 1520 thereby making a...
Given:
- Total selling price of chair and table = Rs. 1520
- Profit on chair = 25%
- Profit on table = 10%
- If sold together for Rs. 1535, profit on chair = 10% and profit on table = 25%
To find:
- Cost price of chair and table
Solution:
Let the cost price of the chair be C and the cost price of the table be T.
Case 1: Selling price = Rs. 1520
- Profit on chair = 25%
- Profit on table = 10%
Given that the selling price of the chair and table together is Rs. 1520 and the profit on chair is 25%, we can write:
C + T + 0.25C + 0.1T = 1520
Simplifying the above equation, we get:
1.25C + 1.1T = 1520 --- (1)
Case 2: Selling price = Rs. 1535
- Profit on chair = 10%
- Profit on table = 25%
If the chair and table are sold together for Rs. 1535 and the profit on chair is 10%, we can write:
C + T + 0.1C + 0.25T = 1535
Simplifying the above equation, we get:
1.1C + 1.25T = 1535 --- (2)
Now, we have two equations (1) and (2) with two variables C and T. We can solve these equations simultaneously to find the values of C and T.
Multiplying equation (1) by 5 and equation (2) by 4, we get:
6.25C + 5.5T = 7600 --- (3)
4.4C + 5T = 6140 --- (4)
Multiplying equation (4) by 1.25, we get:
5.5C + 6.25T = 7675 --- (5)
Subtracting equation (3) from equation (5), we get:
-1.25C + 0.75T = 75
Multiplying the above equation by 4, we get:
-5C + 3T = 300
Multiplying equation (4) by 5, we get:
22C + 25T = 30700
Adding the above two equations, we get:
17T = 30400
T = 1790.59
Substituting the value of T in equation (4), we get:
4.4C + 5(1790.59) = 6140
C = 900.55
Therefore, the cost price of the chair is Rs. 900.55 and the cost price of the table is Rs. 1790.59.
Answer:
- Cost price of chair = Rs. 900.55
- Cost price of table = Rs. 1790.59
- Total selling price of chair and table = Rs. 1520
- Profit on chair = 25%
- Profit on table = 10%
- If sold together for Rs. 1535, profit on chair = 10% and profit on table = 25%
To find:
- Cost price of chair and table
Solution:
Let the cost price of the chair be C and the cost price of the table be T.
Case 1: Selling price = Rs. 1520
- Profit on chair = 25%
- Profit on table = 10%
Given that the selling price of the chair and table together is Rs. 1520 and the profit on chair is 25%, we can write:
C + T + 0.25C + 0.1T = 1520
Simplifying the above equation, we get:
1.25C + 1.1T = 1520 --- (1)
Case 2: Selling price = Rs. 1535
- Profit on chair = 10%
- Profit on table = 25%
If the chair and table are sold together for Rs. 1535 and the profit on chair is 10%, we can write:
C + T + 0.1C + 0.25T = 1535
Simplifying the above equation, we get:
1.1C + 1.25T = 1535 --- (2)
Now, we have two equations (1) and (2) with two variables C and T. We can solve these equations simultaneously to find the values of C and T.
Multiplying equation (1) by 5 and equation (2) by 4, we get:
6.25C + 5.5T = 7600 --- (3)
4.4C + 5T = 6140 --- (4)
Multiplying equation (4) by 1.25, we get:
5.5C + 6.25T = 7675 --- (5)
Subtracting equation (3) from equation (5), we get:
-1.25C + 0.75T = 75
Multiplying the above equation by 4, we get:
-5C + 3T = 300
Multiplying equation (4) by 5, we get:
22C + 25T = 30700
Adding the above two equations, we get:
17T = 30400
T = 1790.59
Substituting the value of T in equation (4), we get:
4.4C + 5(1790.59) = 6140
C = 900.55
Therefore, the cost price of the chair is Rs. 900.55 and the cost price of the table is Rs. 1790.59.
Answer:
- Cost price of chair = Rs. 900.55
- Cost price of table = Rs. 1790.59
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A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each?
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A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each?.
A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man sold a chair and table together for rupees 1520 thereby making a profit of 25% on the chair and 10% on table by selling them together for rupees 1535 he would have made a profit of 10% on the chair and 25% on the table find the cost price of each?.
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