A sells to B goods at five-thirds the rate of profit at which B has decided to sell it to C. C, on other hand sells it to D at one-third the rate of profit at which B sold it to C. If D gives Rs. 2145 to C at 10%, how much did A buy it for ?

• let profit rate of b = x
  acc to question profit rate of a becomes 5/3 x
  and that of c= 1/3 x which is given as 10%
  1/3 x= 10
  therefore x=30
  now b=30% , a=50%
  now we will find out c's price-
  11/10 * price = 2145
  price = 1950
  
  in similar way we will find out b's price as we know that profit is 30%
  therefore 130/100 * price = 1950
  so b 's price =1500
  
  similarly for a ('profit is 50%)
  150/100 * price = 1500
  on solving it we get
  
  a's price = 1000
• 7 years agoHelpfull: Yes(20) No(0)
• Here the question is for how much did a buy so need to find the cost price soc=1/3(x)=2145, we get as x=6435,and thereby a=5/3(6435)=10725,b=6435,and we get profit =sp-cp
  6435=10725-cp
  Cp=3290
• 7 years agoHelpfull: Yes(1) No(0)
• C's price= 2145*10/11=1950
  B's rate prft 3times C
  B's price =1950*10/13=1500
  A's rate prft 30*5/3=50%
  A's price =1500*100/150=1000
• 7 years agoHelpfull: Yes(1) No(1)
• ans-Rs.11000
• 7 years agoHelpfull: Yes(0) No(10)
• Nupur Sundriyal how you find c's price and how 11/10?? Explain that part pls !
• 7 years agoHelpfull: Yes(0) No(0)
• Answer: Rs. 1000
  
  Step-by-step explanation:
  
  Step 1:
  D gave to C = Rs. 2145
  
  Profit rate = 10%
  
  ∴ C.P. of C
  
  = [100/(100+P)]*S.P
  
  = [100/100+10]*2145
  
  = (100/110) * 2145
  
  = Rs. 1950
  
  
  Step 2:
  S.P. of B = C.P. of C = Rs. 1950
  
  It is given that C had sold the goods to D at 1/3rd of profit rate at which B sold it to C
  
  So, 1/3rd of (profit rate for B) = 10%
  
  i.e., profit rate for B = 3 * 10% = 30%
  
  ∴ C.P. of B
  
  = [100/(100+P)]*S.P
  
  = [100/100+30]*1950
  
  = (100/130) * 1950
  
  = Rs. 1500
  
  
  
  Step 3:
  Now, S.P. of A = C.P. of B = Rs. 1500
  
  It is given that A had sold the goods to B at 5/3rd of profit rate at which B sold it to C
  
  So, (profit rate for A) = 5/3 * 30% = 50%
  
  ∴ C.P. of A
  
  = [100/(100+P)]*S.P
  
  = [100/100+150]*1500
  
  = (100/150) * 1500
  
  = Rs. 1000
  
  
  
  Thus, A bought the goods for Rs. 1000.
• 2 years agoHelpfull: Yes(0) No(0)