Due to a 25 % increase in the price of rice per kilogram a person is able to purchase 20 kilograms less for Rupees 400. What is the increased price of rice per kilogram?

• Let the initial price be x. Therefore he can purchase 400/x kg.
  now, increased price = x+x*25/100 = 5x/4
  so now he can purchase 400/(5x/4) kg which is 20 kg less
  => 400/x - 400/(5x/4) = 20
  => x = 4
  hence increased price = 5x/4 = 5 Ans.
• 11 years agoHelpfull: Yes(15) No(1)
• Rupees 5.
  
  Explanation:
  
  Old Price is Rupees 4.
  25% increase makes it as Rupees 5.
  
  With old price, 100 Kilograms can be purchased for Rupees 400. (4*100 = 400)
  With new price, 80 Kilograms only can be bought for Rupees 400. (5*80 = 400)
  
  Hence increased price of rice per kilogram is Rupees 5.
  
  
  
  
  
  
  
  
  
  
  
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• 11 years agoHelpfull: Yes(6) No(2)
• prev price be x
  new be 1.25x
  (400/x)-(400/1.25x)=20
  so solving the equation x=4
  1.25 of x=5
  therefore rs 5
• 11 years agoHelpfull: Yes(2) No(1)
• let earlier price will be rs.x
  no of kgs be y
  therefore xy=400
  increased price be x/4..i.e.,(X+x/4)
  no of quantities =y-20
  (x+x/4)(y-20)=400
  by solving we get x=4....increase price be (4+4/4)=5
• 11 years agoHelpfull: Yes(2) No(1)
• Suppose initially the expenditure was 100%
  with the hike of 25% in prices......
  
  100% ---> 125%
  
  So to reduce the expenditure back to 100%
  a reduction of 20% in expenditure is required..
  
  125% ---> 100% (as 20% of 125 is 25)
  
  But according to ques 20% is equivalent to 20 kg so,
  100% must be equal to 100 kg ..
  
  thus initially 100 kgs of rice was being purchased...
  with Rs.400/100kg= Rs.4/kg
  
  Thus 25% of 4 is 1....
  So, there is an increment of Re.1...
  leads to the price of rice as Rs.5/kg....
• 11 years agoHelpfull: Yes(2) No(1)
• 25% increase means 125/100
  a person is able to purchase 20 kilograms less for 400/-
  so'400 is the base prise or cost price
  so'125/100 *400=500
  so,for 20kg less=500-400
  for 1kg less=100/20=5kg
• 9 years agoHelpfull: Yes(1) No(0)
• 1/n increase in price result in 1/n+1 decrease in purchase (1/n decrease in price results in 1/n-1 increase in purchase)
  
  Here 1/4 increase in price result 1/5 decrease in purchase which is 20 kg
  Let x be initial quantity ,
  1/5*x=20
  x=100 Price will be 400/100=Rs.4
  25% increase in 4 is ,
  4*125/100=5
  
• 8 years agoHelpfull: Yes(0) No(0)