Government projects handled in Q-2 is what percentage of private project handled in q-3.

The graph given below shows the percentage distribution of total number projects (private + public) handled in 4 quarters Q-1, Q-2, Q-3 and Q-4 in years 2022. The table shows the percentage of private projects handled wrt projects handled in respective quarters and number of government projects. Read the pie chart and table carefully and answer the following questions.

Quarters	Percentage of private projects	Number of government projects
Q-1	50	300
Q-2	60	160
Q-3	40	420
Q-4	30	210

The correct option is 57.

Step-by-step Explanation:

First, let's analyze the given pie chart and table to determine the relevant values.

1. Find the number of Government projects in Q-2:
From the table, the number of government projects handled in Q-2 is directly given as:
$\text{Government projects in Q-2}=\; 160$

2. Find the number of Private projects in Q-3:
From the table, the percentage of private projects handled in Q-3 is 40%.
Since a quarter's projects consist only of private and government projects, the percentage of government projects in Q-3 is:
$100\%\; -\; 40\%\; =\; 60\%$
We are given that the number of government projects in Q-3 is 420. Therefore, 60% of the total projects in Q-3 equals 420. Let $T\_3$ be the total number of projects in Q-3:
$60\%\; \times \; T\_3\; =\; 420$
$T\_3\; =\; 420\; /\; 0.60\; =\; 700$
Now, we can find the number of private projects in Q-3:
$\text{Private projects in Q-3}=\; 40\%\; \times \; 700\; =\; 280$

3. Calculate the required percentage:
We need to find what percentage the government projects in Q-2 (160) is of the private projects in Q-3 (280):
$\text{Percentage}=\; (160\; /\; 280)\; \times \; 100$
$\text{Percentage}=\; (4\; /\; 7)\; \times \; 100$
$\text{Percentage}\approx \; 57.14\%$
Rounding to the nearest integer, we get 57%.