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
The number of Model-P cars sold in City D is approximately _____ % of the number of Model-R cars sold in City A
235
To solve this question, we need to calculate the percentage of Model-P cars sold in City D compared to the number of Model-R cars sold in City A. We will follow these steps:
First, calculate the number of cars sold in City A and City D based on the total cars sold and their percentage distribution:
- Number of cars sold in City A = \(90,000 \times \frac{14.30}{100} = 12,870\)
- Number of cars sold in City D = \(90,000 \times \frac{16.80}{100} = 15,120\)
Next, calculate the number of each model sold. We need the ratio of models for both cities:
- Model-R cars in City A follows the ratio 7:7:4. Calculate as follows:
- Total parts in A = \(7 + 7 + 4 = 18\)
- Number of Model-R cars in City A = \(12,870 \times \frac{4}{18} = 2860\)
- Model-P cars in City D follows the ratio 4:3:2. Calculate as follows:
- Total parts in D = \(4 + 3 + 2 = 9\)
- Number of Model-P cars in City D = \(15,120 \times \frac{4}{9} = 6720\)
Finally, compute the percentage of Model-P cars sold in City D with respect to the number of Model-R cars sold in City A:
- Percentage = \(\left(\frac{6720}{2860}\right) \times 100 \approx 235\%\)
Therefore, the number of Model-P cars sold in City D is approximately 235% of the number of Model-R cars sold in City A.
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