A shopkeeper bought a bat and sold it at a loss of 15 %. If he had bought it for 20 % less and sold it for Rs. 147.2 more, he would have had profit of 35 %. What is the cost price of bat ?

1) Rs. 540
2) Rs. 600
3) Rs. 625
4) Rs. 640
5) Rs. 720

• 4) Rs. 640
  
  Let the CP of a bat be x Rs.
  With 15% loss, SP=x*85/100=0.85x
  
  If bought at a CP 20% less than the earlier, then CP=x*80/100=0.8x and
  SP at 147.2 Rs. more=Original SP+147.2= 0.85x+147.2
  
  As profit earned on this transaction is 35%, so [(0.85x+147.2) - 0.8x]*100/0.8x =35
  On solving, x=640
• 8 years agoHelpfull: Yes(19) No(5)
• 640
  
  explanation:
  cp->100 therefore sp->85
  agn when cp->80 then sp->108
  therefore 108-85=23
  23-->100
  thn 147.2-->640 (ans)
  
  
• 7 years agoHelpfull: Yes(15) No(4)
• Let cost be ‘x’
  SP = 17X/20
  
  Now, CP = 4X/5
  
  SP = 17x/20 + 147.2 = (17x + 2944)/20
  
  {(17x + 2944)/20 - 4x/5} * 5/4x * 100 = 35
  (17x + 2944 - 16x)/20 * 125/x = 35
  (x + 2944)/4 * 25/x = 35
  25x + 73600 = 140x
  x = 640
• 5 years agoHelpfull: Yes(0) No(0)