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
- A box containing the denominations of one rupee coins, five rupee coins and ten rupee coins amount to Rs.4320. There are equal number of
coins in all denominations. What is the total number of coins in the box? - The sum of three terms is 14380. The ratio between first term and second term is 14:15 and the ratio between second term and the third term is 16:17. Find the difference between first and last term.
- A box containing the denominations of fifty paise coins, two rupee coins and five rupee coins amount to Rs. 1275. There are equal number of coins in all denominations. What is the value of two rupee coins in the box? (In Rs.)
- Three numbers are in the ratio 19:21:23. If the difference between thrice the third number and the sum of first and second number is 841. Find the difference between the first and third number?
- The ratio between the number of males and females in a college is 27:28. If the number of males are increased by 20% and the number of females are increased by 30%, then what will the new ratio of males and females in the college?
