Question

A bottle is filled 10% in one hour and 8% of the water is emptied in the next one hour. If this process is repeated once again, find the percentage of the bottle filled with water.

• A. 5.67%
• B. 11.48%
• C. 17.66%
• D. 20.51%

Answer 1

The correct option is C 17.66%

The bottle will be filled $10\%$ in the first hour. In the next hour, $8\%$ of it. i.e. $10\times \left(\frac{8}{100}\right)=0.8\%$ of the bottle is emptied. The remaining water after the second hour is $9.2\%$. Again, in the third hour $10\%$ bottle is filled, it becomes $19.2\%$. Now, Again $8\%$ of it. i.e $19.2\times \left(\frac{8}{100}\right)=1.536\%$ is emptied in the fourth hour so the remaining water is $19.2-1.536=17.66\%$