a watch sold for rs 448 gives a profit of only 12% .find the profit %if the selling price has been seen rs512

• Let the cost price of the watch be Rs. 'x'
  
  Then according to the question.
  
  ⇒ x/1 + (x*12)/100 = 448
  
  Taking L.C.M. of the denominators and then solving it.
  
  ⇒ (100x + 12x)/100 = 448
  
  ⇒ 112x = 448*100
  
  ⇒ x = 44800/112
  
  ⇒ x = Rs. 400
  
  So, the cost price of the watch is Rs. 400
  
  Now, we have to find the profit % if the selling price is Rs. 512
  
  Selling price - Cost price = Profit
  
  Profit = 512 - 400
  
  Profit = Rs. 112
  
  Profit % = (Profit*100)/Cost Price
  
  ⇒ (112*100)/400
  
  ⇒ 11200/400
  
  ⇒ 28 %
• 7 years agoHelpfull: Yes(0) No(0)
• let cp=x
  then 448=1.12x
  so cp=400
  if sp=512
  then profit %=(112/400)*100 =28%
• 7 years agoHelpfull: Yes(0) No(0)
• 112%=448
  100%=?
  448*100/112=400
  512=%?
  100*512/400=128%
  Profit 28%
• 6 years agoHelpfull: Yes(0) No(0)
• Profit of 12% means it's 112% of cp=448
  =>448/112=1%of cp
  =>4% is 1 % cp
  =>100% of cp is 400 RS
  Now the product is sold for 512, which is SP
  Gain= SP-CP=512-400=112
  Gain %=Gain/CP *100
  =112/400*100
  = 28%
• 6 years agoHelpfull: Yes(0) No(0)