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Question

The following table shows the percentage (%) distribution of six different types of items A-F produced by a company in the years 2020 and 2021. Total number of items produced by the company in the year 2020 and 2021 are 48600 and 62500, respectively. Based on the data in table, answer the questions that follow :

Item-wise Distribution of Production

Item Type

Distribution (%) of Items Produced

2020

2021

A

17%

18%

B

18%

15%

C

17%

8%

D

20%

17%

E

16%

18%

F

12%

24%

What is the total number of items of type C produced in the year 2020 and 2021 together?

The correct answer is

13262

Analyzing Item Production Data

This problem requires us to analyze the provided table showing the percentage distribution of six different types of items (A-F) produced by a company over two years, 2020 and 2021. We are given the total production for each year and need to find the combined production of item type C for both years.

Understanding the Data Table

The table gives us the percentage breakdown for each item type for the years 2020 and 2021. The total production figures are:

  • Total items produced in 2020: 48600
  • Total items produced in 2021: 62500

The question specifically asks for the total number of items of type C produced across these two years.

Item-wise Distribution of Production (%)
Item Type Distribution (%) of Items Produced 2020 Distribution (%) of Items Produced 2021
A 17% 18%
B 18% 15%
C 17% 8%
D 20% 17%
E 16% 18%
F 12% 24%

Calculating Total Production of Item Type C

Step 1: Calculate the number of Item C produced in 2020

According to the table, item type C accounted for 17% of the total production in 2020. The total production in 2020 was 48600 items.

Number of Item C produced in 2020 = Percentage of C in 2020 $\times$ Total production in 2020

Number of Item C in 2020 = $17\% \text{ of } 48600$

Number of Item C in 2020 = $\frac{17}{100} \times 48600$

Number of Item C in 2020 = $17 \times 486$

Calculation:

  • $17 \times 486 = 8262$

So, 8262 items of type C were produced in 2020.

Step 2: Calculate the number of Item C produced in 2021

From the table, item type C made up 8% of the total production in 2021. The total production in 2021 was 62500 items.

Number of Item C produced in 2021 = Percentage of C in 2021 $\times$ Total production in 2021

Number of Item C in 2021 = $8\% \text{ of } 62500$

Number of Item C in 2021 = $\frac{8}{100} \times 62500$

Number of Item C in 2021 = $8 \times 625$

Calculation:

  • $8 \times 625 = 5000$

Thus, 5000 items of type C were produced in 2021.

Step 3: Calculate the total number of Item C produced in 2020 and 2021 together

To find the total number of Item C produced over both years, we add the amounts calculated in Step 1 and Step 2.

Total number of Item C = Number of Item C in 2020 + Number of Item C in 2021

Total number of Item C = $8262 + 5000$

Total number of Item C = $13262$

Therefore, the total number of items of type C produced in the year 2020 and 2021 together is 13262.

Revision Table: Key Calculations for Item C

Year Total Production Percentage of Item C Number of Item C Produced
2020 48600 17% $\frac{17}{100} \times 48600 = 8262$
2021 62500 8% $\frac{8}{100} \times 62500 = 5000$
Total (2020 + 2021) - - $8262 + 5000 = 13262$

Additional Information: Data Interpretation Tips

Data interpretation questions, especially those based on tables, require careful reading and calculation. Here are a few tips:

  • Always read the question and the table title carefully to understand what the data represents.
  • Note the units (e.g., percentage, absolute numbers) and the totals provided.
  • Break down the question into smaller steps.
  • Perform calculations accurately, paying attention to percentages and decimal places.
  • When dealing with percentages of different totals, calculate the absolute numbers first before adding or comparing.
  • Double-check your calculations, especially in timed tests.

This type of problem tests your ability to extract relevant information from a dataset and perform basic arithmetic operations to arrive at the required answer.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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