Question

The trash content of cotton fed to the blow room is 5%. The blow room has three machines having individual cleaning efficiency of 25%, 30%, 25% respectively. Find the trash% present in the blow room lap.

• A. 1.97%
• B. 1.00%
• C. 0.09%
• D. 2.53%

Hint:

To calculate the remaining trash after each stage, multiply the incoming trash percentage by (1 - cleaning efficiency). Remember to work sequentially through the machines.

Answer 1

The Correct Option is A

Step 1: Understanding Cleaning Efficiency: Cleaning efficiency represents the percentage of trash removed by a machine. If a machine has a cleaning efficiency of 25%, it removes 25% of the trash present in the input material, and 75% of the trash remains.
Step 2: Calculating Trash Remaining After Each Machine: Initial Trash: 5% Machine 1 (25% efficiency): Trash remaining = 5% (1 - 0.25) = 5% 0.75 = 3.75% Machine 2 (30% efficiency): Trash remaining = 3.75% (1 - 0.30) = 3.75% 0.70 = 2.625% Machine 3 (25% efficiency): Trash remaining = 2.625% (1 - 0.25) = 2.625% 0.75 = 1.96875%
Step 3: Rounding: Rounding 1.96875% to two decimal places gives 1.97%.