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
This solution explains how to find the ratio between the total number of hardbound books sold by shops C and D combined and the number of paperback books sold by shop D, based on the provided sales data.
Understanding the Data
The table shows the sales figures for paperback and hardbound books for four different book shops (A, B, C, and D). We need to use specific data points from this table to answer the question.
| Shops | Number of Hardbound books sold | Number of Paperback books sold |
| A | 3500 | 2000 |
| B | 3900 | 5200 |
| C | 4400 | 5500 |
| D | 5500 | 6600 |
Step-by-Step Calculation
Follow these steps to calculate the required ratio:
- Step 1: Find the total number of hardbound books sold by shop C and D.
- Hardbound books sold by Shop C = 4400
- Hardbound books sold by Shop D = 5500
- Total hardbound books (C + D) = $4400 + 5500 = 9900$
- Step 2: Identify the number of paperback books sold by shop D.
- Paperback books sold by Shop D = 6600
- Step 3: Calculate the ratio.
- The ratio is between the total hardbound books sold by C and D together and the paperback books sold by shop D.
- Ratio = (Total hardbound books C+D) : (Paperback books D)
- Ratio = $9900 : 6600$
- Step 4: Simplify the ratio.
- To simplify, we find the greatest common divisor (GCD) of 9900 and 6600.
- First, we can divide both numbers by 100: $9900 / 100 = 99$ and $6600 / 100 = 66$. The ratio becomes $99 : 66$.
- Now, we find the GCD of 99 and 66. Both numbers are divisible by 33 ($99 = 3 \times 33$ and $66 = 2 \times 33$).
- Divide both parts of the ratio by 33: $99 / 33 = 3$ and $66 / 33 = 2$.
- The simplified ratio is $3 : 2$.
Final Ratio
The ratio between the total number of hardbound books sold by shop C and D together and the number of paperback books sold by shop D is 3 : 2.
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:
