For A and B ratio of cost price is 4:5 and ratio of selling price is 4:7. The ratio of total cost price and total selling price is 45:44 and the net loss is Rs. 20. What is the difference between their selling prices?
1)Rs. 360 2)Rs. 240 3)Rs. 300 4)Rs. 250

• Ratio method is the fastest approach to this problem
  total CP:SP given as 45:44 ----- difference is 1 unit
  so, 1 unit----- 20 rs
  total SP ---- 44 unit = 44 x 20 = 880rs
  selling price ratio = 4:7
  so 4+7 units = 11 units which is = 880rs
  so 1 unit =80rs
  asked difference between SP is 7-4 = 3units
  which is 3 x 80rs = 240rs
• 3 years agoHelpfull: Yes(2) No(1)
• Let,
  CPa and CPb = 4x and 5x respectively
  SPa and SPb = 4y and 7y respectively
  
  total cp : total sp = 45:44
  or, (4x+5x) : (4y+7y) = 45:44
  or, 9x/11y = 45/44
  or, x/y = 5/4 -------- (1)
  
  also given, net loss = 20
  so, 9x - 11y = 20 --------(2)
  
  solving (1) and (2),
  y=80
  
  Difference betwn their SP = 7y-4y
  = 3y
  = Rs.240
• 3 years agoHelpfull: Yes(2) No(0)
• 300rs is right ans
• 4 years agoHelpfull: Yes(0) No(4)
• c1/c2=4/5
  c1+c2=4x+5x=9x
  like above selling price ratio is s1+s2=11y
  and given c1+c2=45z
  and s1+s2=44z
  and 45z-44z=20 and z=20
  and s1+s2=44*20
  and 11y=44z
  y=80, and i f you submit this in second ration of qn
  7y-4y=560-320
  240 is the answer
• 3 years agoHelpfull: Yes(0) No(1)
• Ratio method is the fastest approach to this problem
  total CP:SP given as 45:44 ----- difference is 1 unit
  so, 1 unit----- 20 rs
  total SP ---- 44 unit = 44 x 20 = 880rs
  selling price ratio = 4:7
  so 4+7 units = 11 units which is = 880rs
  so 1 unit =80rs
  asked difference between SP is 7-4 = 3units
  which is 3 x 80rs = 240rs
• 1 year agoHelpfull: Yes(0) No(0)
• loss is 1 unit=20, then, selling price of both=44*20=880
  11 unit=880, 3 unit=80*3=240/-
• 1 year agoHelpfull: Yes(0) No(0)