Question

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?

• A. 16%
• B. 20%
• C. 24%
• D. 18%

Answer 1

The Correct Option is B

To solve this problem, we need to compare the number of kurtis sold by Store D with the number of linen kurtis sold by Store B.

1. \(\text{Total kurtis sold} = 84,000\)
2. Calculate the number of kurtis sold by Store D:
   • Store D's percentage: \(12\%\)
   • \(\text{Kurtis sold by D} = 0.12 \times 84,000 = 10,080\)
3. Calculate the number of kurtis sold by Store B:
   • Store B's percentage: \(22\%\)
   • \(\text{Kurtis sold by B} = 0.22 \times 84,000 = 18,480\)
   • Ratio of linen to cotton in Store B: \(5:6\)
   • Total parts of the ratio: \(5 + 6 = 11\)
   • Number of linen kurtis in Store B: \(\frac{5}{11} \times 18,480 = 8,400\)
4. Calculate the percentage more:
   • Difference: \(10,080 - 8,400 = 1,680\)
   • Percentage more: \(\frac{1,680}{8,400} \times 100 = 20\%\)
5. Conclusion: The number of kurtis sold by Store D is 20% more than the number of linen kurtis sold by Store B.

Answer 2

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:

\( \text{Percentage increase} = \frac{\text{Difference}}{\text{Original value}} \times 100. \)

The difference between the number of kurtis sold by store D and the number of linen kurtis sold by store B is:

\( \text{Difference} = 10,080 - 8,400 = 1,680. \)

Now, we calculate the percentage increase:

\( \text{Percentage increase} = \frac{1,680}{8,400} \times 100 = 20\%. \)

Thus, the number of kurtis sold by store D is 20% more than the number of linen kurtis sold by store B.