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.
Linear Eqns One Variable
3 Likes

Question

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.

KnowledgeBoat · Accepted Answer

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 [Transposing +120 to LHS] ⇒ ₹ 8625 = 5x ⇒ x = ₹ ⇒ 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.

Mathematics

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.

Linear Eqns One Variable

Related Questions

Two equal sides of a triangle are each 5 metres less than twice the third side. If the perimeter of the triangle is 55 metres, find the lengths of its sides.

Two supplementary angles differ by 44°. Find the angles.

A man is twice as old as his son. 20 years ago, the age of the man was 12 times the age of the son. Find their present ages.