Vivek purchase a plot of land for 12500 after 1 year due to recession the value of his land fell by 5% in the second year in the second year the value increased by 8% and by 12% in the third year find the value of land after 3 years
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Question :
Vivek purchase a plot of land for 12500 after 1 year due to recession the value of his land fell by 5% in the second year in the second year the value increased by 8% and by 12% in the third year find the value of land after 3 years .
Answer :
[tex]\sf\purple{Given}[/tex]
[tex]\sf\purple{To\:Find}[/tex]
Explanation :
Value of plot after 1 year = value of plot - 5% decreased value .
[tex]\longrightarrow\mathbb{ 12500 - 5/100 × 2500 }[/tex]
[tex]\longrightarrow\mathbb{ 12500 - 5 × 25 }[/tex]
[tex]\longrightarrow\mathbb{ 12500 - 125}[/tex]
[tex]\longrightarrow\mathbb\pink{ 12375}[/tex]
Value of plot after 2 year = value of plot after 1 year + 8% increased value .
[tex]\longrightarrow\mathbb{ 12375 + 8/100 × 12375 }[/tex]
[tex]\longrightarrow\mathbb{ 12375 + 99000/100 }[/tex]
[tex]\longrightarrow\mathbb{ 12375 + 990 }[/tex]
[tex]\longrightarrow\mathbb\pink{ 13365}[/tex]
Value of plot after 3 year = value of plot after 2 year + 12% increased value .
[tex]\longrightarrow\mathbb{13365 + 12/100 × 13365}[/tex]
[tex]\longrightarrow\mathbb{13365 + 1603.8}[/tex]
[tex]\longrightarrow\mathbb\pink{14968.8}[/tex]
@MissOxford
Step-by-step explanation:
Given:-
Vivek purchase a plot of land for 12500 after 1 year due to recession the value of his land fell by 5% in the second year in the second year the value increased by 8% and by 12% in the third year.
To find:-
find the value of land after 3 years
Solution:-
Cost price of a plot of a land purchased by Vivek
= Rs.12500
Reduced percentage of the land after 1 year = 5% of the cost if the land
=>5%×12500
=>(5/100)×12500
=>12500×5/100
=>125×5
=>625
Rs.625 is recession the value of the land
The value of the land after one year =12500-625
=> Rs. 11875
After second year the value of the land is increased by 8%
=>The increased value of the land after 2 nd year
=>11875×8%
=>11875×8/100
=>95000/100
=>950
The value of land after 2 nd year =
11875+950= Rs. 12825
The increased value of the land after third year=12%
The increased value of the land = 12% of 12825
=>12825×12/100
=>153900/100
=>1539
The value of the land after third year
=>12825+1539=14364
Answer:-
The final value of the land after 3 years = Rs. 14364