# 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. Find the ratio of

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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. Find the ratio of their selling prices.

1. 7 : 11
2. 11 : 7
3. 12 : 7
4. 9 : 7

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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