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 land, 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 land, rounded to the nearest integer.

2. Solution Steps

First, calculate the increase in price:

$Increase = New\ Price - Original\ Price$

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

Next, calculate the percentage increase:

$Percentage\ Increase = (Increase / Original\ Price) * 100$

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

$Percentage\ Increase = 0.689 * 100 = 68.9\%$

Finally, round the percentage increase to the nearest integer:

$Rounded\ Percentage\ Increase = 69\%$

The original options listed in the image appear incorrect. Let us check the math carefully again.

Increase = $189297 - 112079 = 77218$

Percentage increase = $(77218/112079) * 100 = 68.9\%$.

Rounding to the nearest integer yields $69\%$. There seems to be some misunderstanding on the values in the image, but the calculations seem to be perfect.

3. Final Answer

69%