Question

The price of a table and a chair together is 5000 rupees .The price of a table and 4 chairs is 8000 rupees. what is the price of each?​

Answer 1

Given data:

The price of a table and a chair together is 5000 rupees

The price of a table and 4 chairs is 8000 rupees

To find:

The price of each

Step-by-step explanation:

Let the price of a table be x and that of a chair be y.

The price of a table and a chair together is 5000 rupees.

⇒ x + y = 5000 ... ... (i)

The price of a table and 4 chairs is 8000 rupees.

⇒ x + 4y = 8000 ... ... (i)

Now, (ii) - (i) ⇒

x + 4y - x - y = 8000 - 5000

⇒ 3y = 3000

⇒ y = 1000

Putting y = 1000 in (i), we get

x + 1000 = 5000

⇒ x = 5000 - 1000

⇒ x = 4000

Answer:

Therefore the price of table is Rs. 4000 and that of a chair is Rs. 1000.

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