Question : The number of units manufactured by company A was 12500 units in 2019 and 10625 units in 2020. While in company B, the production fell from 34000 units in 2019 to 30600 units in 2020. If X and Y are the percentage decrease in the number of units manufactured by companies A and B respectively from 2019 to 2020, then what will be the ratio of X and Y?
Option 1: 5 : 3
Option 2: 3 : 4
Option 3: 3 : 2
Option 4: 8 : 5
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Correct Answer: 3 : 2
Solution :
According to the question,
For company A,
Sales in 2019 = 12500 units
Sales in 2020 = 10625 units
X is the percentage decrease in the number of units
⇒ X = $\frac{12500 - 10625}{12500}\times 100 = 15$%
Also, for company B,
Sales in 2019 = 34000
Sales in 2020 = 30600
Y is the percentage decrease in the number of units
⇒ Y = $\frac{34000-30600}{34000}\times 100 = 10$%
Now, we have to find the ratio,
X : Y = 15 : 10 = 3 : 2
Hence, the correct answer is 3 : 2.
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