# A shopkeeper marks up his goods by 35% and gives a discount of 20%. Apart from........What is his net profit percentage?

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A shopkeeper marks up his goods by 35% and gives a discount of 20%.
Apart from this, he uses a faulty balance also, which reads 1000 gm for 850 gm.
What is his net profit percentage?

posted Oct 30

27%
.
1 * 1.35 * 0.8 / 0.85

Final profit = P1 + P2 + P1*P2/100, where P1- first profit (by price difference), P2- second profit by balance error,
P1=1*1.35*0.8=1.08 -> 8%
P2= 100%*(1000-850)/850=17.64%
Final profit = 8+17.64+8*17.64/100=8+17.64+1.41= 27.05%