Distribution of total number of shirts (linen and cotton) sold by 6 different stores in 2003. Total number = 84000 Respective ratio of numb of linen shirts to cotton shirts sold 7 : 5 What is the difference between average number 01 linen shirts sold by stores D and E together and average number of cotton shirts sold by the same stores together?
Correct Answer: Description for Correct answer:
The number of shirts (linen and cotton) sold by Store D
= \( 84000 \times \frac{12}{100} = 10080 \)
The number of linen shirts sold by Store D = \( 10080 \times \frac{5}{8} = 6300 \)
Ther number of cotton shirts sold by Store D = 10080 - 6300 = 3780
The number of shirts (linen and cotton) sold by Store E
= \( 84000 \times \frac{28}{100} = 23520 \)
The number of linen shirts sold by Store E = \( 23520 \times \frac{4}{7} = 13440 \)
Ther number of cotton shirts sold by Store E = 23520 - 13440 = 10080
Required difference = \( \frac{6300+13440}{2} - \frac{3780+10080}{2} \)
= 9870 - 6930 = 2940
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