The total cost of 3 tables and 2 chairs is ₹ 8745. If a table costs ₹ 40 more than a chair, find the price of each.

Let the price of a chair be ₹ x.

Then, the price of a table = ₹ (x + 40).

Total cost = Cost of 3 tables + Cost of 2 chairs

Substituting the values in above, we get:

₹ 8745 = 3(x + 40) + 2x

⇒ ₹ 8745 = 3x + 120 + 2x

⇒ ₹ 8745 = 5x + 120

⇒ ₹ 8745 - 120 = 5x $\quad$ [Transposing +120 to LHS]

⇒ ₹ 8625 = 5x

⇒ x = ₹ $\dfrac{8625}{5}$

⇒ x = ₹ 1725

Price of a chair = ₹ x = ₹ 1725.

Price of a table = ₹ (x + 40) = ₹ (1725 + 40) = ₹ 1765.

Hence, the price of a chair is ₹ 1725 and price of a table is ₹ 1765.