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

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Answer 1

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 :

$\sf\purple{Given}$

• value of plot for which vivek purchased it is 12500 .

• After one year value decreased by 5%

• In second year value increased by 8%

• In third year it increased by 12%

$\sf\purple{To\:Find}$

• Value of the plot after 3 years = ?

Explanation :

Value of plot after 1 year = value of plot - 5% decreased value .

$\longrightarrow\mathbb{ 12500 - 5/100 × 2500 }$

$\longrightarrow\mathbb{ 12500 - 5 × 25 }$

$\longrightarrow\mathbb{ 12500 - 125}$

$\longrightarrow\mathbb\pink{ 12375}$

Value of plot after 2 year = value of plot after 1 year + 8% increased value .

$\longrightarrow\mathbb{ 12375 + 8/100 × 12375 }$

$\longrightarrow\mathbb{ 12375 + 99000/100 }$

$\longrightarrow\mathbb{ 12375 + 990 }$

$\longrightarrow\mathbb\pink{ 13365}$

Value of plot after 3 year = value of plot after 2 year + 12% increased value .

$\longrightarrow\mathbb{13365 + 12/100 × 13365}$

$\longrightarrow\mathbb{13365 + 1603.8}$

$\longrightarrow\mathbb\pink{14968.8}$

• Value of the plot after 3 years is 14968.8

@MissOxford

Answer 2

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