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The following table shows the percentage distribution of five different Models (A-E) of Mobile Phones produced by a company during the years 2021 and
Question

The following table shows the percentage distribution of five different Models (A-E) of Mobile Phones produced by a company during the years 2021 and 2022. Total number of Mobile Phones produced by the company in 2021 and 2022 is 4,50,000 and 5,20,000, respectively. Based on the data in the table, answer the questions 1-5
Year-wise Percentage (%) Distribution of Model of Mobile Phones.

What is the ratio of the number of Mobile phones of Model-C.D and E in the year 2022 to the number of Mobile phones of Models B, C and D in the year 2021?

A.

18:17

B.

25:19

C.

16:15

D.

14:15

Correct option is C

In 2021:
 Number of Model B phones = 25% of 4,50,000 = 0.25 * 4,50,000 = 1,12,500
 Number of Model C phones = 30% of 4,50,000 = 0.30 * 4,50,000 = 1,35,000
 Number of Model D phones = 10% of 4,50,000 = 0.10 * 4,50,000 = 45,000
In 2022:
 Number of Model C phones = 25% of 5,20,000 = 0.25 * 5,20,000 = 1,30,000
 Number of Model D phones = 25% of 5,20,000 = 0.25 * 5,20,000 = 1,30,000
 Number of Model E phones = 10% of 5,20,000 = 0.10 * 5,20,000 = 52,000
Total in 2022 = Number of Model C + Number of Model D + Number of Model E Total in 2022 = 1,30,000 + 1,30,000 + 52,000 = 3,12,000
Total in 2021 = Number of Model B + Number of Model C + Number of Model D Total in 2021 = 1,12,500 + 1,35,000 + 45,000 = 2,92,500
Ratio = Total in 2022 / Total in 2021 Ratio = 3,12,000 / 2,92,500
To simplify the ratio, you can divide both numbers by their greatest common divisor, which is 500:
Ratio = (3,12,000 / 500) / (2,92,500 / 500) Ratio = 624 / 585
Now, simplify this ratio by dividing both numbers by their greatest common divisor, which is 39:
Ratio = (624 / 39) / (585 / 39) Ratio = 16 / 15

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