Correct Answer - Option 3 : 22 ∶ 5
Given:
The total cost price of 3 bats and 2 balls = Rs. 7600
The total cost price of 2 bats and 4 balls = Rs. 6400
Calculation:
Let the price of a bat be x and a ball be y.
3x + 2y = 7600
⇒ 6x + 4y = 15200
2x + 4y = 6400
⇒ 6x + 12y = 19200
(6x + 12y) – (6x + 4y) = 19200 – 15200
⇒ 6x + 12y – 6x – 4y = 4000
⇒ 8y = 4000
⇒ y = 4000/8
⇒ y = Rs. 500
Cost price of ball = Rs. 500
⇒ 3x + 2y = 7600
⇒ 3x + (2 × 500) = 7600
⇒ 3x + 1000 = 7600
⇒ 3x = 7600 – 1000
⇒ 3x = 6600
⇒ x = 6600/3
⇒ x = Rs. 2200
Cost price of bat = Rs. 2200
Ratio of price of bat and ball = 2200 ∶ 500 = 22 ∶ 5
∴ The ratio of bat and ball is 22 ∶ 5
