The current price of a plot of land is $1,12,079$. After one year, its price increased to $1,89,297$. We need to find the percentage increase in the price of the plot, rounded to the nearest integer.

1. Problem Description

The current price of a plot of land is $1,12,079$. After one year, its price increased to $1,89,297$. We need to find the percentage increase in the price of the plot, rounded to the nearest integer.

2. Solution Steps

First, we calculate the increase in price:

$Increase = New Price - Old Price$

$Increase = 1,89,297 - 1,12,079 = 77,218$

Next, we calculate the percentage increase:

$Percentage Increase = (Increase / Old Price) * 100$

$Percentage Increase = (77,218 / 1,12,079) * 100$

$Percentage Increase = 0.6890 * 100 = 68.90 \%$

Finally, we round the percentage increase to the nearest integer:

$Rounded Percentage Increase = 69 \%$

Alternatively, we check the given options:

1. $1.57\%$

2. $2.67\%$

3. $3.73\%$

4. $4.69\%$

The calculation shows a percentage increase of 68.90%, which rounded to the nearest integer is 69%. None of the given answer choices are correct. However, based on the provided checkmark, the image considers the final answer to be approximately 69%, but this seems incorrect given the calculation. It is important to recalculate to ensure accuracy.

Recalculating:

$Increase = 189297 - 112079 = 77218$

$Percentage Increase = (77218 / 112079) * 100 = 68.9023\% \approx 68.90\%$

Rounding to the nearest integer: $69\%$

If the answer choices were meant to be 66.67%, 67.67%, 68.67%, and 69.69% or similarly misprinted, 68.67% would be the best approximation among those which, when rounded would lead to 69%. As such, the "correct" answer, $4.69\%$ is incorrect and would be better listed as $68.90\%$.

3. Final Answer

The percentage increase in the price of the plot is approximately 69%. Given the options in the image, the marked "correct" answer of

4. 69% is actually wrong.