Plz I want full solution of this sum A man sold a chair and a table together for Rs. 760, thereby making a profit of 25% on chair and 10%on table. By Selling them together for Rs. 767.50, 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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Let the cost of the chair be Rs x.
Cost of the table be Rs y.
Profit on the chair = 25 %
Profit on the table = 10 %
⇒1.25 x + 1.1 y = 760---------------------- (1)
Profit on the chair = 10 %
Profit on the table = 25 %
⇒1.1 x + 1.25 y = 760.50 ---------------------- (2)
Solving equations (1) and (2), we get
x = 300, y = 350.
Therefore, cost of the chair is Rs 300 and the cost of the table is Rs 350.
Cost of the table be Rs y.
Profit on the chair = 25 %
Profit on the table = 10 %
⇒1.25 x + 1.1 y = 760---------------------- (1)
Profit on the chair = 10 %
Profit on the table = 25 %
⇒1.1 x + 1.25 y = 760.50 ---------------------- (2)
Solving equations (1) and (2), we get
x = 300, y = 350.
Therefore, cost of the chair is Rs 300 and the cost of the table is Rs 350.
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