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Question
The price of a table and a chair together is 2500 rupees. The price of 3 tables and 4 chairs of this kind is 8000 rupees. What is the price of each?
The price of a table and a chair together is 2500 rupees. The price of 3 tables and 4 chairs of this kind is 8000 rupees. What is the price of each?
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Solution
Let the price of table be Rs.x and the price of chair be Rs.y.
Total price of the chair and the table = Rs.2500
⇒ x + y = 2500
⇒ y = 2500 − x … (1)
Total price of three tables and four chairs = Rs.8000
⇒ 3x + 4y = 8000
⇒ 3x + 4(2500 − x) = 8000 (From equation (1))
⇒ 3x + 10000 − 4x = 8000
⇒ −x = 8000 − 10000
⇒ −x = −2000
⇒ x = 2000
From equation (1), we have:
y = 2500 − 2000 = 500
Thus, the price of the table and the chair is Rs.2000 and Rs.500 respectively.
Let the price of table be Rs.x and the price of chair be Rs.y.
Total price of the chair and the table = Rs.2500
⇒ x + y = 2500
⇒ y = 2500 − x … (1)
Total price of three tables and four chairs = Rs.8000
⇒ 3x + 4y = 8000
⇒ 3x + 4(2500 − x) = 8000 (From equation (1))
⇒ 3x + 10000 − 4x = 8000
⇒ −x = 8000 − 10000
⇒ −x = −2000
⇒ x = 2000
From equation (1), we have:
y = 2500 − 2000 = 500
Thus, the price of the table and the chair is Rs.2000 and Rs.500 respectively.
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