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If 2 bats and 5 balls costs Rs. 3100 and 3 bats and 3 balls costs Rs. 4020. What is the cost of a bat and a ball together?

If 2 bats and 5 balls costs Rs. 3100 and 3 bats and 3 balls costs Rs. 4020. What is the cost of a bat and a ball together? Correct Answer Rs. 1340

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

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