Correct Answer - Option 1 : 27/125

**Given****∶**

A tennis ball is consistently bounces back 3/5 of the height from which it is dropped.

**Formula** **Used**∶

Geometric progression, Concept of Decreasing GP.

GP whose common ratio r lies between 0 and 1.

**Calculation∶ **

Each time the ball is dropped and it bounce back, it reaches 3/5 of the height it was dropped from.

After the first bounce, the ball will reach 3/5 of the height from which it was dropped. Let it was the original height.

After the second bounce, the ball will reach 3/5 of the height it would have reached after the first bounce.

So, at the end of the second bounce, the ball would have reached 3/5 × 3/5 of the original height = 9/25^{th} of the original height.

After the third and the last bounce, the ball will reach 3/5 of the height it would have reached after the 2^{nd} bounce.

So, at the end of the last bounce, the ball would have reached 3/5 × 3/5 × 3/5 of the original height = 27/125 of the original height.

**∴ The required fraction is 27/125 of its original height.**