Total composite score for A, B, and C \(= 7.2 + 7.8 + 6.5 = 21.5\)
Total fund allocation for these cities = \(\left( \frac{21.5}{\text{Total composite score}} \right) \times 150 \text{ million USD}\)
Assuming equal weightage for all cities, total composite score
\(= 5 \times\) average composite score \(= 5 \times 7.2 = 36\)
Total fund allocation =\(\left( \frac{21.5}{36} \right) \times 150\) million USD = 112.5 million USD
Fund allocation is directly proportional to composite score.
Ratio of fund allocations for D and E = \(\frac{40}{30} = \frac{4}{3}\)
Ratio of composite scores for D and \(E = \frac{8}{x}\)
Equating the ratios: \(\frac{4}{3} = \frac{8}{x}\)
\(x = 2\times3 = 6\)
A bar graph shows the number of students in 5 departments of a college. If the average number of students is 240 and the number of students in the Science department is 320, how many students are there in total in the other four departments?
A pie chart shows the distribution of students across 5 faculties in a university. If 20% are in Arts, 25% in Science, 15% in Law, 30% in Engineering, and the rest in Commerce, what is the angle (in degrees) for Commerce?
In a sequence of numbers, each term is generated by multiplying the previous term by 2 and then subtracting 1. If the first term is 3, what is the fourth term in the sequence?