The correct answer is option (A):
43%
To determine the percentage of Madhya Pradesh's Railway Network that does not have broad gauge tracks, we need information about the total railway network length and the length of the broad gauge tracks within the state.
Let's assume we have the following data:
Total Railway Network Length in Madhya Pradesh = X km
Length of Broad Gauge Tracks in Madhya Pradesh = Y km
The length of the railway network that does not have broad gauge tracks would be the difference between the total length and the broad gauge length:
Non-Broad Gauge Length = X - Y km
To find the percentage of the railway network that does not have broad gauge tracks, we use the formula:
Percentage of Non-Broad Gauge = ((Non-Broad Gauge Length) / (Total Railway Network Length)) * 100
Percentage of Non-Broad Gauge = ((X - Y) / X) * 100
Without specific data on the railway network lengths in Madhya Pradesh, we cannot perform this calculation directly. However, if the correct answer is provided as 43%, this implies that the proportion of the railway network that *is* broad gauge is 100% - 43% = 57%.
Let's rephrase the calculation based on the provided answer. If 43% of the network does not have broad gauge tracks, it means that 57% of the network *does* have broad gauge tracks.
So, if Y is the length of the broad gauge tracks and X is the total length, then:
(Y / X) * 100 = 57%
This means Y = 0.57 * X
The length of the non-broad gauge tracks would then be X - Y = X - (0.57 * X) = 0.43 * X.
The percentage of non-broad gauge tracks is (0.43 * X) / X * 100 = 43%.
Therefore, the answer 43% is correct if, according to the source data from which this question is derived, 57% of Madhya Pradesh's railway network is broad gauge, and consequently, 43% is not. This implies that the remaining portion of the network consists of meter gauge or narrow gauge tracks. The question is testing the ability to interpret percentages and possibly to infer the complement percentage.
To provide a more concrete explanation, let's imagine a hypothetical scenario with actual numbers.
Suppose the total railway network length in Madhya Pradesh is 1000 km.
If 570 km of this network is broad gauge (which is 57% of 1000 km), then the remaining length that is not broad gauge would be 1000 km - 570 km = 430 km.
The percentage of the network that is not broad gauge would be (430 km / 1000 km) * 100 = 43%.
This demonstrates how the answer 43% can be derived if the proportion of broad gauge is 57%. The question likely assumes a known composition of the railway network in Madhya Pradesh.