Given: 2 bats and 5 balls costs Rs. 3100 3 bats and 3 balls costs Rs. 4020 Calculations: Let the price of a bat be x and the price of a ball be y ⇒ 2x + 5y = 3100 ----(i) ⇒ 3x + 3y = 4020 ----(ii) Multiplying (i) by 3 and (ii) by 2, ⇒ 6x + 15y = 9300 ----(iii) ⇒ 6x + 6y = 8040 ----(iv) Subtracting (iv) from (iii), ⇒ 15y – 6y = 1260 ⇒ 9y = 1260 ⇒ y = Rs. 140 Substituting the value of y in (i), ⇒ 2x + (5 × 140) = 3100 ⇒ 2x + 700 = 3100 ⇒ 2x = 2400 ⇒ x = Rs. 1200 Cost of 1 bat and 1 ball, ⇒ x + y = 1200 + 140 ⇒ Rs. 1340 ∴ The cost of a bat and a ball together is Rs. 1340