A shopkeeper marks his good at 60% above the cost price. He allows a discount of 12 1/2%. Also he cheats 14 2/7% while purchasing and 20%at selling and gives one article free on purchase of 15 articles. Find the profit/loss in whole transaction.

@Akhilesh Singh solved it well. For more questions related cat. visit CAT QUANT

Hi Vikas
Let the cost price of 1 kg be 100. So the person marks the price as 160 and offers a discount of 20. Hence, He sells it for 140. However, he 1 + 1/7 = 8/7 kg for 100. Hence the effective cost price for him would be 100/(8/7) = 700/8.
Now he sells only 800 gm for 140. The cost price of 800 gm would be 700*.8/8 = 70.
Now he offers one article free for every 15. Hence his effective discount rate is 12.5 + 6.17 = 18.67
Hence his effective selling price is 160*8133 = 130.12.
Hence the required profit percentage = 60.12/70 = 85.88%
Hope that helps.