The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars. What is the total number of car toys of C2 and C3 taken together?Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10
Calculate Total Car Toys from Sales Data
The problem asks us to find the total number of car toys of specific colours, C2 and C3, based on the data provided in a table. The table gives the total number of toys sold for different colours and the percentage of those toys that are cars.
| Colour | Total toys | Percentage of cars |
|---|---|---|
| C1 | 500 | 12 |
| C2 | 600 | 15 |
| C3 | 400 | 12.5 |
| C4 | 550 | 10 |
| C5 | 650 | 20 |
| C6 | 450 | 10 |
To find the number of car toys for a specific colour, we need to calculate the percentage of cars out of the total number of toys for that colour.
Calculating Car Toys for Colour C2
- From the table, the total number of toys of colour C2 is 600.
- The percentage of cars among C2 toys is 15%.
- Number of car toys of colour C2 is calculated as:
\text{Number of C2 cars} = \text{Total C2 toys} \times \frac{\text{Percentage of C2 cars}}{100}
\text{Number of C2 cars} = 600 \times \frac{15}{100}
\text{Number of C2 cars} = 6 \times 15
\text{Number of C2 cars} = 90
Calculating Car Toys for Colour C3
- From the table, the total number of toys of colour C3 is 400.
- The percentage of cars among C3 toys is 12.5%.
- Number of car toys of colour C3 is calculated as:
\text{Number of C3 cars} = \text{Total C3 toys} \times \frac{\text{Percentage of C3 cars}}{100}
\text{Number of C3 cars} = 400 \times \frac{12.5}{100}
\text{Number of C3 cars} = 4 \times 12.5
\text{Number of C3 cars} = 50
Calculating Total Car Toys for C2 and C3 Combined
The question asks for the total number of car toys of C2 and C3 taken together. We add the number of C2 car toys and the number of C3 car toys.
\text{Total C2 and C3 cars} = \text{Number of C2 cars} + \text{Number of C3 cars}
\text{Total C2 and C3 cars} = 90 + 50
\text{Total C2 and C3 cars} = 140
Therefore, the total number of car toys of C2 and C3 taken together is 140.
Revision Table: Key Calculations Summary
| Colour | Total Toys | Percentage Cars | Number of Car Toys |
|---|---|---|---|
| C2 | 600 | 15% | $600 \times \frac{15}{100} = 90$ |
| C3 | 400 | 12.5% | $400 \times \frac{12.5}{100} = 50$ |
| Total (C2 + C3) | - | - | $90 + 50 = 140$ |
Additional Information: Understanding Percentages in Data Analysis
Percentages are frequently used in data analysis to represent a part of a whole. In this problem, the percentage of cars tells us what fraction of the total toys for a specific colour are cars.
- A percentage represents a value out of 100. For example, 15% means 15 out of every 100.
- To calculate a percentage of a number, you can convert the percentage to a decimal (divide by 100) and multiply it by the number, or you can multiply the number by the percentage and then divide by 100. Both methods give the same result.
- Calculating percentages is useful for comparing proportions across different categories, even if the total numbers are different.
Important Questions from Data Interpretation
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- What will be the total area of land (million ha) of which 12% area is prone to flood and river erosion ?
The total runs scored by four cricketers P, Q, R, and S in years $2009$ and $2010$ are given in the following table:
Player $2009$ $2010$ P $802$ $1008$ Q $765$ $912$ R $429$ $619$ S $501$ $701$
The player with the lowest percentage increase in total runs isStudy the given table and answer the following question:
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The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?
