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November 3rd, 2018, 02:17 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 458 Thanks: 1  Why is my solution wrong?
Meena purchased two fans each at Rs 1200. She sold one fan at the loss of 5% and other at the gain of 10%. Find the total gain or loss percent. Solution: C.P of first fans = 1200, Loss of first fan = 5% S.P of first fan = ((100L% )/100)*C.P → S.P = ((1005% )/100)*1200 → S.P = (95%)/100*1200 → S.P = 1140 C.P of second fan = 1200, gain of second fan = 10% → S.P = ((100 +10% )/100)*1200 → S.P = ((110% )/100)*1200 → S.P = 1320 Total S.P → 1140 + 1320 = 2460 Total C.P → 1200 + 1200 = 2400 Profit% = (S.PC.P )/100 = (24602400)/100 = 60/100 = 60% But answer is 2.5%. Please tell where did I done wrong? 
November 3rd, 2018, 06:19 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 
1200  05% = 1140 1200 + 10% = 1320  2400 + 2.5% = 2460 
November 3rd, 2018, 06:28 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,926 Thanks: 2205  
November 6th, 2018, 02:20 AM  #4 
Senior Member Joined: Aug 2014 From: India Posts: 458 Thanks: 1  
November 6th, 2018, 05:22 AM  #5  
Senior Member Joined: May 2016 From: USA Posts: 1,310 Thanks: 551  Quote:
You should have divided by the cost price of 2400. Why in the world would you divide by 100? $60 \div 2400 = 0.025.$ Now if you want to turn 0.025 into a percent, you multiply by 100. $0.025 \times \dfrac{100\%}{1} = 2.5\%.$ Last edited by JeffM1; November 6th, 2018 at 05:26 AM.  

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