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
The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is Rs. 2560. This diamond got broken down into two pieces in the ratio of 5 ∶ 9. How much loss percent is incurred due to this breakage ? (Correct to two decimal places)
Atul purchased Bread costing Rs.20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination Rs.2, Rs.5 and Rs.10. If these coins are in the ratio 5 ∶ 4 ∶ 1, then how many Rs.5 coins did the shopkeeper give?
A person divides a certain amount among his three sons in the ratio of 3 ∶ 4 ∶ 5. If he had divided this amount in the ratio of 1/3,1/4,1/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount (in Rs).
In a school 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 the number if girls are also below 10 years. If the number of students of age 10 or more years is 260. then the number of boys in the school is:
If a : b : c = \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}, \) then \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
