Each day he does 1/8th of the job but then loses 20% of that 1/8. Since 20% = 20/100 = 1/5, he loses 1/5th of 1/8th of the job. 1/5th of 1/8th is 1/40th. So each day he loses 1/40th of the job out of that 1/8th that he did. So each day he completes 1/8 - 1/40 = 5/40 - 1/40 = 4/40 = 1/10th of the job. So it will take him 10 days to finish the job. Edwin