A shopkeeper offers successive discounts of 10% and k%. Customers get items marked at Rs. 1,200 for Rs. 864. What is the value of k?

Explanation

Given: Marked Price of an item = Rs. 1200 Selling Price of an item = Rs. 864 A shopkeeper offers successive discounts of 10% and k% on Marked price. Concept used: S.P = M.P × (100 - D%)/100 Where, S.P = Selling Price, M.P = Marked Price, D = Discount Calculation: According to the question, S.P = M.P × (100 - D%)/100 ⇒ 864 = 1200 × [ (100 - 10)/100] × [(100 - k)/100] ⇒ 864 = 1200 × (90/100) × (100 - k)/100 ⇒ k = 20% ∴ The Required answer is 20%.