An article listed at Rs. 500 is sold at successive discounts of 10% and 14%. The buyer wants to sell it at a profit of 15% after offering a 10% discount. What should be his list price (in Rs.)?

Explanation

Given: Listed price of the article = Rs. 500 Successive discounts = 10% and 14% Desired profit = 15% Discount offered by buyer = 10% Formula Used: Discount Selling Price = Marked Price × (1 − )​ 100 ​ Profit Selling Price = Cost Price × (1 + )​ 100 ​ Solution: 10 14 Cost price of the article for the buyer = 500 × (1 − ) × (1 − )​ 100 100 ​ 90 86 Cost price = 500 × × = 387​ 100 100 ​ ​ 15 Desired Selling Price to earn 15% profit = 387 × (1 + )​ 100 ​ Desired Selling Price = 387 × 1.15 = 445.05​ Let the new list price be x After a 10% discount, Selling Price = x × 0.90 x × 0.90 = 445.05 445.05 x= ​= 494.50 0.90 ​ Final Answer So the correct answer is (c)