The cost of raw materials of a product increased by 30% , the manufacturing cost increases by 20% and the selling price of the product increases by 60% .The raw material and manufacturing cost ,originally ,formed 40% and 60% of the total cost respectively .If the original profit percentage was 1/4th of original manufacturing cost ,find approximate new profit percentage .
a)54.76%
b)63.85%
c)66.72%
d)48.39 %

• If initial total cost was Rs 100,
  .The raw material and manufacturing cost ,originally Rs. 40 and Rs. 60 respectively .If the original profit percentage was 1/4th of original manufacturing cost ,Initial selling price = Rs 115.
  Present cost of raw material = 1.3*40= Rs 52.
  present manufacturing cost = 1.2*60= Rs 72.
  Present total cost = 52+72= Rs 124
  present selling price= 1.6*115= Rs. 184
  new profit percentage = 100*(184-124)/122= 100*60/124= 48.39 % .. option d)
  
• 11 years agoHelpfull: Yes(48) No(6)
• Let the price of the raw material is 100 and the
  manufactural cost is 100.So according to the ques price of raw material and manafactural cost become Rs130 and Rs 120 respectively.
  Previouse cp =40% of raw materal +60% of manufactural.
  =40+60=100.
  Previous profit =1/4 of manufactural=1/4*60=15.
  So previous s.p=100+15=115.
  Now new s.p=160/100*115=184.
  So new profit =new s.p-new c.p
  New c.p=40%*130+60%*120=52+72=124.
  New profit=184-124=60.
  Profit%=profit*100/c.p=60*100/124=48.39%
  Ans=48.39%.
• 11 years agoHelpfull: Yes(7) No(0)
• let CP is Rs100,then raw mat. cost =Rs40 and manufactrng mat. cost=Rs60.Also new cost of raw mat=30%*40+40=52 and new cost of manu. mat=20%*60=72.
  profit=1/4*Cost of manu. mat.=1/4*60=15. so old SP=CP+Profit=100+15=115,Hence, new SP =60%*SP+SP=60%*115+115=184
  so,nw PP=184/newCP*100=48.39%
• 11 years agoHelpfull: Yes(2) No(0)