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
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.
The ratio between the companies having more production than demand and more demand than production is:
Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.
During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?
The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?
The given pie chart shows the expenditure by a state government on various sports during a particular year. If the total amount spent on tennis and football is ₹1,45,000, then the total amount (in ₹) spent on all the given sports is:
