Correct Answer - Option 2 : 11 : 7

**Given:**

A bat was bought for double the price of a ball.

After a year, the bat and the ball were sold at a loss of 45% and 30% respectively.

**Formula used:**

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

Profit percentage = (Profit / Cost Price) × 100

Loss percentage = (Loss / Cost price) × 100

**Calculation: **

Let the cost price of the bat and ball be Rs. 2x and Rs. x respectively.

SP of bat = Rs. (2x × 0.55)

SP of ball = Rs. (x × 0.7)

Ratio of selling prices = (2x × 0.55)/(x × 0.7)

⇒ 11 : 7

**∴ required ratio is 11 : 7**