If the price of an item is decreased by 10% and then increased by 10%, the net effect on the price of the item is

a. A decrease of 99%
b. No change
c. A decrease of 1%
d. An increase of 1%

• initially assume 100 rupees
  10% discount in 100 gives price of 90 rupees
  then 10% raise in 90 is only 9 rupees.
  therefore total price =99 rupees.
  hence 1% is the loss
  
• 10 years agoHelpfull: Yes(33) No(1)
• loss of 1% use the formula loss=[x/10]^2
• 9 years agoHelpfull: Yes(10) No(2)
• c) A decrease of 1%
  
  Let x be the price
  Decrease by 10%-->
  New price = x - x*10/100
  =0.9x
  
  Increase in 10%
  New price = 0.9x + 0.9*10/100
  =0.99x
  
  Net effect =( x - 0.99x)/x *100 = 1% derease
• 10 years agoHelpfull: Yes(7) No(1)
• ans:C
  let initial price= x
  10%decrease===> price=90x/100
  10%increase==> new price= (90x/100)+ 10% of 90x/100
  = 99x/100
  effect on price= new- initial
  = 99x/100 - x
  =-1/100
  -ve sign indicates decrease in cost....
• 10 years agoHelpfull: Yes(2) No(0)
• option c
  
  let initial price = 100
  
  100 ---->(10% decrease) 90 ---->(10% increase) 99
  
  net effect =(100-99)/100 x 100 %
  =1% decrease
• 10 years agoHelpfull: Yes(2) No(0)
• initially assume 100 rupees
  10% discount in 100 gives price of 90 rupees
  then 10% raise in 90 is only 9 rupees.
  therefore total price =99 rupees.
  hence 1% is the loss
• 9 years agoHelpfull: Yes(2) No(0)
• x=-10% y=10%
  overall change=x+y+x*y/100
  =-10+10-10*10/100
  =-1 %
  A decrease of 1%
• 9 years agoHelpfull: Yes(2) No(0)
• -10+10+((-10)*(10)/100)=-1%
• 8 years agoHelpfull: Yes(2) No(0)
• if increase and decrease of item percentage is same then there is a direct formula
  p^2/100
  put p=10 and we get (100/100)=1% decrease.
• 10 years agoHelpfull: Yes(1) No(0)
• 1.1*0.9=0.99 , compare with 1 so 1% decrease.....
• 9 years agoHelpfull: Yes(1) No(0)
• b there is no change
• 10 years agoHelpfull: Yes(0) No(7)
• ans is c,,,,,,,,
• 10 years agoHelpfull: Yes(0) No(0)
• c) a decrease of 1%
  suppose the price of the item is x
  then decreased by 10 %
  net price of the item is 9x/10
  then increased by 10%
  then the net price of the item will be 9*11x/100=99x/100
  that means the price of the item is decreased by 1%
• 10 years agoHelpfull: Yes(0) No(0)
• b.nochange
• 10 years agoHelpfull: Yes(0) No(10)
• it can be solve like
  -(x)^2/100
  where x is the value of increment and decrement
  so
  -(10)^2/100=-1
• 9 years agoHelpfull: Yes(0) No(0)
• inc%-dec%-dec%*inc%/100
  10-10-10*10/100
  hence -1%
• 9 years agoHelpfull: Yes(0) No(0)
• Answer is C clearly we can easily solve by taking 100 initially
• 9 years agoHelpfull: Yes(0) No(0)
• Option c,
  Let price be 100
  New price will be 90
  On incr
  10/100*90=9
  Loss of 1%
• 9 years agoHelpfull: Yes(0) No(0)
• net effect is decreases by 1% so ans is c
• 8 years agoHelpfull: Yes(0) No(0)
• c decrease by 1%
• 8 years agoHelpfull: Yes(0) No(0)
• .90*1.1=.99 i.e 1 % decrease
  
• 8 years agoHelpfull: Yes(0) No(0)
• for both increase and decrease=(10/10)*(10/10)=1
  => no change b)
• 8 years agoHelpfull: Yes(0) No(0)
• In this type of question when the price is increased and decreased by value same value x. Then there is always a loss of
  (x/10)^2
• 8 years agoHelpfull: Yes(0) No(0)
• Ans :option(C)
• 7 years agoHelpfull: Yes(0) No(0)