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. 

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

Therefore, answer is option A.


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