- The question states the population of males below poverty line (BPL) for State ‘Q’ is 2.4 million and for State ‘T’ is 6 million. It asks for the ratio of the total population of States ‘Q’ and ‘T’. - Let the total population of State Q be T_Q and State T be T_T. - Male BPL in Q = T_Q × (Percentage of Male BPL in Q / 100). - Male BPL in T = T_T × (Percentage of Male BPL in T / 100). - The "Percentage of Male BPL" for a state represents the percentage of the total population of that state that is male and below the poverty line. This is equal to (% BPL / 100) (% Male among BPL / 100) for that state. - So, 2.4 million = T_Q × (Percentage of Male BPL in Q / 100). - And 6 million = T_T × (Percentage of Male BPL in T / 100). - We need the ratio T_Q : T_T. - T_Q / T_T = [2.4 / (Percentage of Male BPL in Q / 100)] / [6 / (Percentage of Male BPL in T / 100)]. - T_Q / T_T = (2.4 / 6) × [(Percentage of Male BPL in T / 100) / (Percentage of Male BPL in Q / 100)]. - The ratio 2.4 / 6 simplifies to 24/60 = 2/5. - T_Q / T_T = (2/5) × [Ratio of Male BPL percentages (relative to total population) for T and Q]. - For the ratio T_Q : T_T to be a simple ratio like 2:5, it must be the case that the ratio of the percentages is 1, i.e., (Percentage of Male BPL in T) is equal to (Percentage of Male BPL in Q). This means the proportion of the total population that is male and below poverty line is the same in both states. - Assuming this implied condition (or if the data source, if available, confirmed this), the ratio of total populations is the same as the ratio of the absolute numbers of Male BPL population. - Ratio of Male = 24 : 60 = 2 : 5.