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
- 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?
