A woman sells 7/10 of her stock of cutlery at a profit of 30%. The remaining stock is sold at a loss of 8%. Find the percentage profit on the sale of the whole stock
Let's assume the woman's total stock of cutlery is worth $100.
From the first sale, she sells 7/10 * $100 = $<<7/10*100=70>>70 worth of cutlery at a profit of 30%.
The profit from this sale is 30/100 * $70 = $<<30/100*70=21>>21.
She is left with $100 - $70 = $<<100-70=30>>30 worth of cutlery.
From the second sale, she sells $30 worth of cutlery at a loss of 8%.
The loss from this sale is 8/100 * $30 = $<<8/100*30=2.40>>2.40.
The total profit from selling the whole stock is $21 - $2.40 = $<<21-2.40=18.60>>18.60.
The percentage profit on the sale of the whole stock is (18.60/100) *100 = 18.60%. Answer: \boxed{18.60}.