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
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 \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
