If the price of cooking gas increases by 23%, what % of the consumption of gas be reduced by a hotel owner so that the expenditure on gas remains the same?

• we have one formula for these type of que..
  {R/(100+R)*100}% where r=rate of increase in value
• 12 years agoHelpfull: Yes(6) No(1)
• x=a+b+(a*b)/100
  0=23+b+(23*b)/100
  -23=123b/100
  b=-18.7
• 12 years agoHelpfull: Yes(2) No(0)
• lets have a normal example
  suppose initially price was 100 RS for 16 kg of gas(u can take any value)
  now price increases by 23% ie 123 RS for 16 kg
  but the hotel management want to invest only 100 Rs
  therefore in 100Rs we can buy only 13 kg of gas
  now lets see the percentage change in weight
  13*100/16=81.3
  they have to reduce by 100-81.3=18.7
• 12 years agoHelpfull: Yes(2) No(0)
• Ans. 18.7%
  
  Solution:
  With same expenditure the % consumption will be
  = 100*100/123 = 81.3%
  So the consumption of gas be reduced by a hotel owner so that the expenditure on gas remains the same = 18.7%
• 12 years agoHelpfull: Yes(1) No(0)