Study the pie chart and table and answer the questions
Store
Respective ratio of number of linen kurtis to cotton kurtis sold
A
7:5
B
5:6
C
3:2
D
5:3
E
4:3
F
7:3
Distribution of total no. of Kurtis (cotton and linen) sold by six different stores in 2016,where total kurtis sold are 84,000 Number of kurtis (linen and cotton) sold by store D is what percent more than the number of linen kurtis sold by store B?
We are asked to find the percentage increase in the number of kurtis sold by store D compared to the number of linen kurtis sold by store B.
Step 1: Calculate the total number of kurtis sold by store D
From the pie chart, store D represents 12% of the total kurtis sold. The total number of kurtis sold is 84,000. Therefore, the total number of kurtis sold by store D is:
\( \text{Total kurtis sold by store D} = 84,000 \times \frac{12}{100} = 10,080 \)
Step 2: Calculate the number of linen kurtis sold by store B
From the pie chart, store B represents 22% of the total kurtis sold. We are asked to find the number of linen kurtis sold by store B. According to the table, the ratio of linen to cotton kurtis sold by store B is 5 : 6, meaning for every 11 kurtis, 5 are linen and 6 are cotton.
\( \text{Total kurtis sold by store B} = 84,000 \times \frac{22}{100} = 18,480 \)
Now, using the ratio of 5 : 6, we can calculate the number of linen kurtis sold by store B:
\( \text{Linen kurtis sold by store B} = \frac{5}{11} \times 18,480 = 8,400 \)
Step 3: Calculate the percentage increase
Now, we need to calculate the percentage increase in the number of kurtis sold by store D compared to the number of linen kurtis sold by store B. The formula for percentage increase is:
