The following table shows (i) the percentage (%) distribution of number of Maruti Cars sold in six cities A-F and (ii) the proportion of three models P, Q and R among those cars sold. Total number of Maruti Cars sold in these cities is 90,000. Based on the data in the table, answer the question :City % Distribution of Sold Cars Proportion of Car Models Sold P Q R A 14.30% 7 7 4 B 16.20% 2 5 2 C 18.40% 3 3 4 D 16.80% 4 3 2 E 12.60% 2 2 1 F 21.70% 3 2 5
Number of cars sold in City F is approximately _______ % more than the number of cars sold in City B
34
To find how much more the number of cars sold in City F is compared to the number of cars sold in City B, we first need to use the given percentage distribution.
- Calculate the number of cars sold in City B using the percentage distribution:
- City B's percentage of cars sold = \(16.20\%\)
- Total cars sold = \(90,000\)
- Cars sold in City B = \(\frac{16.20}{100} \times 90,000 = 14,580\)
- Calculate the number of cars sold in City F using the percentage distribution:
- City F's percentage of cars sold = \(21.70\%\)
- Cars sold in City F = \(\frac{21.70}{100} \times 90,000 = 19,530\)
- Find the difference in number of cars sold between the two cities:
- Difference = Cars in City F - Cars in City B = \(19,530 - 14,580 = 4,950\)
- Calculate the percentage increase:
- Percentage increase = \(\frac{4,950}{14,580} \times 100 \approx 33.94\%\)
The percentage increase in the number of cars sold in City F compared to City B is approximately 34%.
Therefore, the correct answer is 34%.
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