bharti06 wrote:I understand that this question can be done by the method mentioned above working with the old and new values. However there is a formula for finding percentage change -
x+y+xy/100 (+ sign is used for profit and - for loss)
for example- The length of a rectangle increased by 40% and width decreased by 30%. Resulting area is what % increase or decrease by original area?
By applying the formula here -
=40-30-1200/100
=40-30-12
=-2 (- means loss)
so 2% decrease from the orginal
but when I tried to apply the same formula in the given question here, it doesnt work...
I did it using the formula as below -
20% increase and then 20% decrease on two items consecutively....
so 20-20-400/100
= 20-20-4
= -4 (which means 4% loss)
so 4% of 60,000 is 2400
means loss of 2400
but the actual answer coming is loss of 2500
Can someone please help me understand where am I going wrong? Thanks.
she got loss on the value she invested. so your calculation should 4% of 62500 not 60000.
Also you don't have money she invested so instead of going with such a tedious calculation remember this shot trick, "whenever a person sell two things at price X; one with Y% profit and other with Y% loss, there is always loss of y^2/100.
so when you apply this trick over here you'll get 20^2/100 i.e. 4% loss.
60000 = 96% of X => X = 62500.
Hope this helps.
Kudos,
Hemant
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.