Let the cost price of one table and one chair be ₹ a and ₹ b, respectively.

The selling price of the table, when it’s sold at a profit of

The selling price of the chair, when it’s sold at a profit of

According to the question

… (a)

Similar,

The selling price of the table, when it’s sold at a profit of

The selling price of the chair, when it’s sold at a profit of

Therefore, again from the question

… (b)

Re- written (a) and (b) with their simplest coefficients,

…….. (c)

….. (d)

Adding (c) and (d), we get

⇒ ……. (e)

Using (e) in (c),

[After taking LCM]

⇒

Putting in (e),

Therefore, the cost price of the table is and that of the chair is .