Discussion
A redye costs roughly twice a first dyeing. If right first time rises from 80 to 90 per cent, by what fraction does the redye cost fall?
Answer: C
Correct answer: by half
Failures fall from 20 per cent of batches to 10 per cent, so the redye work halves and so does its cost - the doubled cost of a redye multiplies both figures equally and cancels. It is worth seeing the leverage: a ten point gain in right first time removes half the redyeing, because the redye burden depends on the failure rate rather than on the success rate.
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