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
Book Sales Ratio Calculation Explained
This solution explains how to calculate the ratio between the total sales of shops A and C combined and the total sales of shops B and D combined, based on the provided table of hardbound and paperback book sales.
Book Sales Data
The table shows the number of hardbound and paperback books sold by four different book shops:
| Shop | Number of Hardbound books sold | Number of Paperback books sold |
|---|---|---|
| A | 3500 | 2000 |
| B | 3900 | 5200 |
| C | 4400 | 5500 |
| D | 5500 | 6600 |
Calculating Total Sales for Each Shop
First, we need to find the total number of books sold by each shop by adding the sales of hardbound and paperback books.
- Shop A Total Sales: $3500 + 2000 = 5500$
- Shop B Total Sales: $3900 + 5200 = 9100$
- Shop C Total Sales: $4400 + 5500 = 9900$
- Shop D Total Sales: $5500 + 6600 = 12100$
Calculating Combined Sales for Shop Groups
Next, we calculate the combined total sales for the specified groups of shops.
- Total Sales (Shops A + C):
Add the total sales of Shop A and Shop C:
$5500 + 9900 = 15400$ - Total Sales (Shops B + D):
Add the total sales of Shop B and Shop D:
$9100 + 12100 = 21200$
Determining the Ratio
Finally, we find the ratio between the combined sales of (A + C) and the combined sales of (B + D).
The ratio is:
$$ \text{Total Sales (A + C)} : \text{Total Sales (B + D)} $$ $$ 15400 : 21200 $$To simplify the ratio, we find the greatest common divisor or divide by common factors.
- Divide both numbers by 100: $$ \frac{15400}{100} : \frac{21200}{100} = 154 : 212 $$
- Divide both numbers by 2: $$ \frac{154}{2} : \frac{212}{2} = 77 : 106 $$
The simplified ratio between the total sale by shops A and C together to the total sale by shops B and D is 77 : 106.
Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
