Study the table carefully and answer the questions:
The given data is regarding the number of paperback and hardbound books sold by four different book shops A, B, C and D :Shops Number of Hardbound books sold Number of Paperback books sold A 3500 2000 B 3900 5200 C 4400 5500 D 5500 6600
Analyzing Book Sales Data
The question asks us to compare the total book sales (both hardbound and paperback) of the shop that sold the most books with the shop that sold the least books. We need to find out by what percentage the highest sales figure is greater than the lowest sales figure.
Calculating Total Book Sales Per Shop
First, let's calculate the total number of books sold by each shop by adding the number of hardbound and paperback books.
| Shop | Number of Hardbound Books Sold | Number of Paperback Books Sold | Total Books Sold |
|---|---|---|---|
| A | 3500 | 2000 | 5500 |
| B | 3900 | 5200 | 9100 |
| C | 4400 | 5500 | 9900 |
| D | 5500 | 6600 | 12100 |
- Shop A Total Sales: 3500 + 2000 = 5500 books
- Shop B Total Sales: 3900 + 5200 = 9100 books
- Shop C Total Sales: 4400 + 5500 = 9900 books
- Shop D Total Sales: 5500 + 6600 = 12100 books
Identifying Highest and Lowest Selling Shops
Now, we identify the shops with the maximum and minimum total book sales from the calculated totals:
- Highest Selling Shop: Shop D sold 12100 books.
- Lowest Selling Shop: Shop A sold 5500 books.
Calculating Percentage Difference
To find how much higher the highest sales are than the lowest sales, we first find the difference and then calculate the percentage increase based on the lowest sales figure.
- Difference in Sales: Highest Sales - Lowest Sales
- Difference = 12100 - 5500 = 6600 books
Now, we calculate the percentage by which Shop D's sales are higher than Shop A's sales:
- Percentage Higher = $\frac{\text{Difference in Sales}}{\text{Lowest Sales}} \times 100$
- Percentage Higher = $\frac{6600}{5500} \times 100$
- Simplify the fraction: $\frac{6600}{5500} = \frac{66}{55} = \frac{6}{5}$
- Percentage Higher = $\frac{6}{5} \times 100$
- Percentage Higher = $1.2 \times 100$
- Percentage Higher = 120%
Therefore, the total number of books sold by the highest selling shop (Shop D) is 120% higher than the total number of books sold by the lowest selling shop (Shop A).
Important Questions from Percentage
- By how much is 50% of 60 greater than 30% of 40?
- A fruit seller had some apples. He sells 40% of those apples and still has 240 apples. How many apples did he originally have?
- In an election between two candidates, 75% of the voters cast their votes. 2% of the votes cast were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. The total number of voters enrolled in that election was:
- The population of a district is 328000, out of which 164000 are males. 24% of the population is literate. If 34% males are literate, then what percentage of females are literate?
- A number, when decreased by 6%, gives 3760. The number is:
