Final answer:
To calculate the percentage of scrap in an operation, we need to determine the number of pieces produced per 'thek' and compare it to the number of sellable pieces produced per 'fugai'. The scrap rate can then be calculated using the formula: percentage of scrap = (t - ((102/f) * t)) / t * 100. For example, if t = 1000 and f = 10, the scrap rate would be 40%.
Step-by-step explanation:
The scrap rate of the operation is given as 'thek'. This means that for every 'thek' pieces produced, there is a certain amount of scrap. In this case, we are told that 102 sellable pieces per 'fugai' are produced. To calculate the percentage of scrap, we need to determine how many pieces were produced per 'thek' and then compare it to the number of sellable pieces produced per 'fugai'.
Let's assume that 1 'thek' is equal to t pieces and 1 'fugai' is equal to f pieces. From the given information, we know that 102 sellable pieces are produced per 'fugai'. Therefore, the number of 'thek' pieces produced is (102/f) * t.
Now, to calculate the scrap rate as a percentage, we can use the formula: percentage of scrap = (t - ((102/f) * t)) / t * 100.
For example, if we assume t = 1000 and f = 10, then the scrap rate would be (1000 - ((102/10) * 1000)) / 1000 * 100 = 40%. Therefore, the percentage of scrap in this case would be 40% rounded to one decimal place.