A shop keeper purchased an article for Rs. 500 and marked the price of the article as Rs. 1000. Then he decided to provide three discount of a%, b% and c% in such a way that (a+b+c=30). Then what can be range of profit percantage made by the shop keeper in the transaction?

CP = Rs. 500, MP = Rs. 1000. Final SP after successive discounts a%, b%, c%: SP = 1000 × (1 - a/100)(1 - b/100)(1 - c/100). Given a + b + c = 30. To maximize profit, minimize discounts - make one discount 30%, others 0%. SP_min = 1000 × 0.7 = 700, profit = 40%. To minimize profit, distribute discounts equally (10% each): SP = 1000 × 0.9³ = Rs. 729, profit = 45.8%. Range is 40% to 45.8%.