Question: Directions: Refer to the pie-chart and the table and answer the given questions,
Distribution of total number of shirts (linen and cotton) sold by six different stores in 2003.
Total number = 84000
Store Respective ratio of number of linen shirts to cotton shirts sold
A 7 : 5
B 5 : 6
C 3 : 2
D 5 : 3
E 4 : 3
F 7 : 3
What is the difference between average number of linen shirts sold by stores D and E together and average number of cotton shirts sold by the same stores together?
Options:
A) 2920
B) 2880
C) 2940
D) 3140
Show Answer
Answer:
Correct Answer: C
Solution:
- Total number of shirts (linen and cotton) sold by six different store in 2003 = 84000
Total shirts sold by store D = 12% of 84000
$ =\frac{12}{100}\times 84000=10080 $
Number of linen shirts sold by store D
$ =\frac{5}{8}\times 10080=6300 $
Number of cotton shirts sold by store D
$ =10080-6300=3780 $
Total shirts sold by store E = 28% of 84000
$ =\frac{28}{100}\times 84000=23520 $
Number of linen shirts sold by store E
$ =\frac{4}{7}\times 23520=13440 $
Number of cotton shirts sold by store E
$ =23520-13440=10080 $
Now, average number of linen shirts sold by stores D and E
$ =\frac{6300+13440}{2}=9870 $
and average number of cotton shirts sold by stores D and E $ =\frac{3780+10080}{2}=6930 $
$ \therefore $ Required difference $ =9870-6930=2940 $
BETA
