# The average number of polling stations in 5 different states is 443.4. Average of polling station in first, second, third and fifth state is 419.25. I

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The average number of polling stations in 5 different states is 443.4. Average of polling station in first, second, third and fifth state is 419.25. If ratio of number of polling stations in fourth and fifth state is 12: 23 then find number of polling stations in fifth state.
1. 1200
2. 1035
3. 380
4. 540
5. 900

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Correct Answer - Option 2 : 1035

Given:

Avg of 5 states’ polling stations = 443.4

First + Second + Third + Fifth = 419.25

Fourth: fifth = 12: 23

Calculation:

1 + 2 + 3 + 4 + 5 = 443.4 × 5

⇒ Total number of polling stations = 2217

1 + 2 + 3 + 5 = 419.25 × 4

⇒ 1 + 2 + 3 + 5 = 1677

Fourth state number of polling station = 2217 – 1677

⇒ Fourth state number of polling station = 540

⇒ Fifth state number of polling station = 540 × 23/ 12

⇒ Fifth state number of polling station = 1035

∴ 1035 polling station