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 What is the respective ratio between number of kurtis (linen and cotton) sold by store C and number of linen kurtis sold by store F?
To solve this problem, we need to find the respective ratio between the number of kurtis (linen and cotton) sold by store C and the number of linen kurtis sold by store F.
Step 1: Calculate the total number of kurtis sold by store C.
From the pie chart, store C sells 8% of the total kurtis. The total number of kurtis sold by all stores is 84,000.
Total kurtis sold by store C = \(0.08 \times 84000 = 6720\)
Step 2: Calculate the number of linen kurtis sold by store F.
From the pie chart, store F sells 14% of the total kurtis.
Total kurtis sold by store F = \(0.14 \times 84000 = 11760\)
The ratio of linen kurtis to cotton kurtis sold by store F is 7:3.
Total parts of the ratio = \(7+3 = 10\)
Number of linen kurtis sold by store F = \(\frac{7}{10} \times 11760 = 8232\)
Step 3: Find the respective ratio.
Now, we need the ratio between the total number of kurtis sold by store C and the number of linen kurtis sold by store F.
Respective ratio = \(\frac{6720}{8232} = \frac{40}{49}\)
Thus, the respective ratio is 40:49.
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Approach Solution -2
We are asked to find the respective ratio between the total number of kurtis (linen and cotton) sold by store C and the number of linen kurtis sold by store F.
Step 1: Total kurtis sold by store C
From the pie chart, we know that store C represents 8% of the total kurtis sold. The total number of kurtis sold is 84,000. Therefore, the total number of kurtis sold by store C is:
Total kurtis sold by store C = \( 84,000 \times \frac{8}{100} = 6,720 \)
Step 2: Number of linen kurtis sold by store F
From the pie chart, store F represents 14% of the total kurtis sold. We are asked to find the number of linen kurtis sold by store F. According to the table, the ratio of linen to cotton kurtis sold by store F is 7 : 3, meaning for every 10 kurtis, 7 are linen and 3 are cotton.
Total kurtis sold by store F = \( 84,000 \times \frac{14}{100} = 11,760 \)
Now, using the ratio of 7 : 3, we can calculate the number of linen kurtis sold by store F:
Linen kurtis sold by store F = \( \frac{7}{10} \times 11,760 = 8,232 \)
Step 3: Find the respective ratio
We are asked to find the ratio of the total kurtis sold by store C to the linen kurtis sold by store F. This is given by:
Required ratio = \( \frac{\text{Total kurtis sold by store C}}{\text{Linen kurtis sold by store F}} = \frac{6,720}{8,232} \)
