A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal.

• say total cost price of tea is x.
  then total profit at a rate of 15% is=(15x/100)
  according to question,
  15x/100=60
  so x=400
  c.p of the tea is 400.so total selling price will be=(400+60)=460
  so the quantity of the tea will be=(460/5.75)=80kg.
• 10 years agoHelpfull: Yes(29) No(2)
• given:profit%=15,gain=60
  
  formula:profit%=gain*100/c.p
  15=60*100/c.p
  c.p=60*100/15
  c.p=400
  
  formula:s.p-c.p=gain
  s.p-400=60
  s.p=400+60
  s.p=460
  quantity of tea sold=s.p/rate
  460/5.75=80kg
  
• 10 years agoHelpfull: Yes(10) No(0)
• Ans:80
  let quantity of tea=x
  then gain=s.p-c.p
  60 =(5.75*x)-(c.p*x)
  c.p*x=5.75*x-60.......(1)
  then c.p is for total quantity
  c.p*x={100/115)*(5.75*x}
  c.p*x=5x........(2)
  sub (2) in (1)
  5x=5.75x-60
  x=80
  so the ans is 80
• 10 years agoHelpfull: Yes(8) No(1)
• let total cost = x
  profit is 60 in rate of 15% means 15x/100=60 => x=400
  so total profit is 460
  quntity of tea is 460/5.75= 80
• 10 years agoHelpfull: Yes(5) No(1)
• per kg profit (in Rs) = 5.75 * 15/115
  = Rs 0.75
  
  Quantity of tea = total profit / per kg profit
  = 60 / 0.75
  = 80 kg (Ans)
• 9 years agoHelpfull: Yes(0) No(1)