After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (on inches) will it reach after its fourth bounce?

Question: After being dropped, a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high will it reach after its fourth bounce?

Solution:
Given,
After each bounce, the ball reaches 2/5 of the height of its previous bounce.

After 1st bounce, height = 125 inches

After 2nd bounce,
= 125 × 2/5
= 25 × 2
= 50 inches

After 3rd bounce,
= 50 × 2/5
= 10 × 2
= 20 inches

After 4th bounce,
= 20 × 2/5
= 4 × 2
= 8 inches

Correct Answer: গ) 8