A reduction of 20% in the price of lipsticks could enable rakhi to get 12 more for rs 1440 find original price?

• let "x" be the price of 1 lipstick
  let "y" be the no. of lipsticks which was bought b4 reduction
  
  so x*y=1440 ------>(1)
  
  reduction of 20 % means x*20/100= x/5
  so the price of 1 lipstick ll become x-x/5 ====> 4x/5
  
  v can buy 12 more lipstick for new price (4x/5)
  
  y(4x/5)+12(4x/5)=1440 ---->(2)
  
  solving these 2 equations we ll get x=30...
  
  So original price of each lipstick is 30rs
  
• 10 years agoHelpfull: Yes(8) No(0)
• ans : Rs 30
  Let x be the price of lipstick and y number of lipsticks bought
  
  xy = 1440
  Since price of lipstick reduces by 20%
  price is 80x/100
  ie
  80x/100 * (y+12) = 1440
  x* (y+12) = 1800
  xy +12x = 1800
  12x = 1800 - 1440 ( since xy = 1440)
  x = 30
• 10 years agoHelpfull: Yes(6) No(0)
• I think d original price of 1 lipstick is 30...
• 10 years agoHelpfull: Yes(1) No(0)
• answer will be 30
  "Reduction in the price of lipstic allows to purchase more lipstic then previous".
  Therefore % increase in consumption of lipstic = (20*100)/(100-20) = 25%
  
  It means 25% = 12 (bcoz given in the question)
  multiplying by 4 on both sides we have,
  100% = 48
  
  From above we conclude that 48 lipstics can be purchased in 1440 RS.
  Therefore original price of a lipstic is 1440/48 = 30 RS.
• 10 years agoHelpfull: Yes(1) No(0)
• 80=(1440*20)/100*12,
  100%=(1440*20*100)/80*100*12=30
• 10 years agoHelpfull: Yes(0) No(0)
• can any one tell me hows this initially X*Y =1440 ...because 1440 comes after 12 more lipstic added.....Right ? plzz tell me...
• 10 years agoHelpfull: Yes(0) No(0)