Instructions

These questions are based on the table below presenting data on percentage population covered by drinking water and sanitation facilities in selected Asian countries.

Country A is said to dominate B or A > B if A has higher percentage in total coverage for both drinking water and sanitation facilities, and, B is said to be dominated by A, or B < A. A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country.Â

Question 150

# Again, using only the data presented under Sanitation facilities columns, sequence China, Indonesia and Philippines in ascending order of rural population as a percentage of their respective total populations. The correct order is:

Solution

Let total rural population in China be A and urban population in China be B.

Total population in India = T = A + B

Based on the sanitation facilities table,

$$\frac{74}{100}$$ B + $$\frac{7}{100}$$ A = $$\frac{24}{100}$$(A + B)

Solving, we get

$$\frac{A}{B}$$ = $$\frac{50}{17}$$

A : B = 50 : 17

Rural population % = $$\frac{50}{50+17}\times\ 100$$ = $$\frac{50}{67}\times\ 100$$ = 74.6%

Let total rural population in Indonesia be C and urban population in Indonesia be D.

Total population in India = T = C + D

Based on the sanitation facilities table,

$$\frac{40}{100}$$ C + $$\frac{73}{100}$$ D = $$\frac{51}{100}$$(C + D)

Solving, we get

$$\frac{C}{D}$$ = $$\frac{22}{11}$$

C : D = 2 : 1

Rural population % = $$\frac{2}{2+1}\times\ 100$$ = $$\frac{2}{3}\times\ 100$$ = 66.7%

Let total rural population in Philippines be R and urban population in Philippines be U.

Total population in India = T = R + U

Based on the sanitation facilities table,

$$\frac{88}{100}$$ U + $$\frac{66}{100}$$ R = $$\frac{77}{100}$$(U + R)

Solving, we get

$$\frac{U}{R}$$ = $$\frac{11}{11}$$

U : R = 1 : 1

Rural population % = $$\frac{1}{1 + 1}\times\ 100$$ = $$\frac{1}{2}\times\ 100$$ = 50%

Ascending order: Philippines, Indonesia, China

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