A lump of two metals weighing 18 gm is worth Rs 74 but if their weights be interchanged it would be worth Rs 60.10p. If the price of one metal be Rs 7.20 per gram, find the weight of the other metal in the mixture?

• let wt. of one metal be x gm then wt. of 2nd =(18-x)gm
  price of 1st metal= 7.2 rs/gm
  price of 2nd metal= y rs/gm
  
  x*7.2 + (18-x)*y=74 .....(1)
  (18-x)*7.2 + x*y=60.1 ....(2)
  adding (1) & (2)
  => 18*7.2+18y=74+60.1
  => y= .25
  from(1), 7.2*x+(18-x)*(.25)=74 => x=10
  
  wt of 1st metal = 10 gm
  wt of 2nd metal =(18-10)= 8 gm
• 10 years agoHelpfull: Yes(48) No(2)
• rakesh 74 is in rs and 60.1 is in paise.how can u add them without changing unit..
  
• 10 years agoHelpfull: Yes(1) No(9)