Q.The price of sugar increases by 20%, by what % should a housewife reduce the consumption of sugar so that expenditure on sugar can be same as before ?

Option
a) 15%
b) 16.66%
c) 12%
d) 9%

• As price increase and consumption are inversely proportional,
  if one increases by 1/x then other should reduce by 1/(x+1)
  hence 20% is 1/5, consumption should reduce by 1/6 = 16.66%
  ANSWER => (b)
• 12 years agoHelpfull: Yes(32) No(3)
• Percentage reduction in consumption when price hikes=(100*OriginalPrice)/(100+OriginalPrice)
  So,.. (100*20)/(100+20)=2000/120=16.66 %
• 9 years agoHelpfull: Yes(8) No(0)
• we take price as 100 so increased by 20% means it will become 120
  100/120*100=83.33
  so 100-83.33=16.66
• 7 years agoHelpfull: Yes(5) No(0)
• they are inversely proportional
  x/(120x/100)=(1-k/100)y/y
  
• 10 years agoHelpfull: Yes(2) No(2)
• for expenditure on sugar should be same,
  if one increases by 1/x then other should reduce by 1/(x+1)
  hence 20% is 1/5, consumption of sugar should reduce by 1/6 = 16.66%
  options - b) 16.66%
• 7 years agoHelpfull: Yes(1) No(0)
• formula =a/(100+a)*100
  20/(100+20)*100
  =16.66%
• 5 years agoHelpfull: Yes(1) No(0)
• Price accomodity increases by R% , ( R/(100+R))% is increase in consumption,so( 20/120)*100=16.66%
• 7 years agoHelpfull: Yes(0) No(0)
• **If price increase by R% ,then reduction in consumption is(R/(100+R))% ,if price decrease by R%,increase in consumption is(R/(100-R))%
• 7 years agoHelpfull: Yes(0) No(0)
• 16.6
  100/120*100=83.33
  so 100-83.33=16.66
• 7 years agoHelpfull: Yes(0) No(0)
• B) AS 20/100=1/5 increase 5 to 6 1/6 is the answer]
• 6 years agoHelpfull: Yes(0) No(0)
• (100*20)/(100+20)=2000/120=16.66 %
• 6 years agoHelpfull: Yes(0) No(0)
• 100->120->100
  120-100=20
  (20/120)*100=16.66
• 5 years agoHelpfull: Yes(0) No(0)
• it's b.16.66%
  an increase in 20% should be compensated
  initially assume consumption is 100%
  So increased consumption is 120% and the decrease in amount would be (20%/120%)*100 =16.66%
• 5 years agoHelpfull: Yes(0) No(0)
• 1/n increase = 1/n+1 decrease
  
  The price of sugar increases by 20% (1/5) and hence the housewife should reduce the consumption of sugar by 16.66% (1/6) so that expenditure on sugar can be same as before
• 5 years agoHelpfull: Yes(0) No(0)
• price ▒1/consumption;
  price inc 20% which is 1/x..=1/5
  consimption=1/1+x..=1/(5+1)=1/6=16.66%
• 5 years agoHelpfull: Yes(0) No(0)