A landowner increased the length and the breadth of a rectangular plot by 20 % and 30 % respectively. Find the percentage change in the cost of the plot assuming land prices are uniform throughout his plot.
Answers
Answer:
The percentage change in the cost of the plot assuming land prices are uniform throughout his plot is:
56%.
Step-by-step explanation:
Let the initial length of land =l units
and initial breadth of land=b units.
Now let 'x' denote the cost of land per square units.
Area of land=l×b square units.
Price of land(P)=l×b×x=₹ lbx.
Now after increasing the length and breadth of plot by 20% and 30% respectively,
The length of plot=1.2 l units
and breadth of plot=1.3 b units.
Hence, area of plot=1.2 l×1.3 b=1.56 lb square units.
The percentage change in area is:
1.56 lb-lb=0.56 lb
i.e. the percentage increase in area is 56%.
Hence, the price of the area of land also changes by 56%.
Answer:
56%
Step-by-step explanation:
Suppose you have a product of two variables say 10 * 10.
If the first variable changes to 11 and the second variable
changes to 12, what will be the percentage change in the
product? [Note there is a 10% increase in one part of the
product and a 20% increase in the other part.]
So ,
% change in product is 20+10+20*10/100
same for here area is product of length and breadth so we can write , percentage change in price = 20+30+20*30/100
= 56%. as price is uniform