The following table shows the percentage (%) distribution of wheat production in seven different countries, namely, India, China, Japan, Srilanka, Indonesia, Pakistan and Bangladesh by deploying Scientific Method and Conventional Method. Total production of wheat in these countries is 50 lakh tonnes. Based on the data in the table, answer the questions that follow Country-wise Distribution of Wheat Production Country Distribution (%) of Wheat Production (out of 50 lakh tonnes) Distribution (%) of Wheat Production Scientific Method Conventional Method India 18% 32% 68% China 22% 70% 30% Japan 20% 78% 22% Srilanka 13% 60% 40% Indonesia 10% 73% 27% Pakistan 9% 66% 34% Bangladesh 8% 20% 80%
The approximate average production of wheat (in lakh tonnes) by the Scientific Method for all the seven countries is
Calculating Average Wheat Production by Scientific Method
The question asks for the approximate average production of wheat using the Scientific Method across seven different countries. We are given the total wheat production in these countries (50 lakh tonnes) and percentage distributions from a table.
Understanding the Data Table
The table provides three key pieces of information for each country:
- The percentage distribution of the total wheat production (out of 50 lakh tonnes) attributable to that country.
- The percentage of that country's production that was produced using the Scientific Method.
- The percentage of that country's production that was produced using the Conventional Method.
Step-by-Step Calculation Process
To find the average production by the Scientific Method, we need to follow these steps:
- Calculate the total wheat production for each country.
- Calculate the amount of wheat produced using the Scientific Method for each country.
- Sum the Scientific Method production amounts for all seven countries.
- Divide the total Scientific Method production by the number of countries (7) to find the average.
Calculating Production for Each Country
Let's calculate the total production and Scientific Method production for each country:
- India:
- Total production for India: $50 \text{ lakh tonnes} \times 18\% = 50 \times \frac{18}{100} = 9 \text{ lakh tonnes}$.
- Scientific Method production for India: $9 \text{ lakh tonnes} \times 32\% = 9 \times \frac{32}{100} = 2.88 \text{ lakh tonnes}$.
- China:
- Total production for China: $50 \text{ lakh tonnes} \times 22\% = 50 \times \frac{22}{100} = 11 \text{ lakh tonnes}$.
- Scientific Method production for China: $11 \text{ lakh tonnes} \times 70\% = 11 \times \frac{70}{100} = 7.70 \text{ lakh tonnes}$.
- Japan:
- Total production for Japan: $50 \text{ lakh tonnes} \times 20\% = 50 \times \frac{20}{100} = 10 \text{ lakh tonnes}$.
- Scientific Method production for Japan: $10 \text{ lakh tonnes} \times 78\% = 10 \times \frac{78}{100} = 7.80 \text{ lakh tonnes}$.
- Srilanka:
- Total production for Srilanka: $50 \text{ lakh tonnes} \times 13\% = 50 \times \frac{13}{100} = 6.5 \text{ lakh tonnes}$.
- Scientific Method production for Srilanka: $6.5 \text{ lakh tonnes} \times 60\% = 6.5 \times \frac{60}{100} = 3.90 \text{ lakh tonnes}$.
- Indonesia:
- Total production for Indonesia: $50 \text{ lakh tonnes} \times 10\% = 50 \times \frac{10}{100} = 5 \text{ lakh tonnes}$.
- Scientific Method production for Indonesia: $5 \text{ lakh tonnes} \times 73\% = 5 \times \frac{73}{100} = 3.65 \text{ lakh tonnes}$.
- Pakistan:
- Total production for Pakistan: $50 \text{ lakh tonnes} \times 9\% = 50 \times \frac{9}{100} = 4.5 \text{ lakh tonnes}$.
- Scientific Method production for Pakistan: $4.5 \text{ lakh tonnes} \times 66\% = 4.5 \times \frac{66}{100} = 2.97 \text{ lakh tonnes}$.
- Bangladesh:
- Total production for Bangladesh: $50 \text{ lakh tonnes} \times 8\% = 50 \times \frac{8}{100} = 4 \text{ lakh tonnes}$.
- Scientific Method production for Bangladesh: $4 \text{ lakh tonnes} \times 20\% = 4 \times \frac{20}{100} = 0.80 \text{ lakh tonnes}$.
Summing Scientific Method Production
Now, we add up the production by the Scientific Method for all seven countries:
Sum $= 2.88 + 7.70 + 7.80 + 3.90 + 3.65 + 2.97 + 0.80 \text{ lakh tonnes}$
Sum $= 29.70 \text{ lakh tonnes}$.
Calculating the Average
Finally, we calculate the average production by the Scientific Method by dividing the sum by the number of countries (7):
Average $= \frac{\text{Total Scientific Production}}{\text{Number of Countries}}$
Average $= \frac{29.70 \text{ lakh tonnes}}{7}$
Average $\approx 4.2428... \text{ lakh tonnes}$.
Rounding to two decimal places, the approximate average production is 4.24 lakh tonnes.
Comparing with Options
The calculated approximate average production of 4.24 lakh tonnes matches one of the given options.
| Country | Total Production (lakh tonnes) | Scientific Method (%) | Scientific Method Production (lakh tonnes) |
|---|---|---|---|
| India | $50 \times 0.18 = 9$ | 32% | $9 \times 0.32 = 2.88$ |
| China | $50 \times 0.22 = 11$ | 70% | $11 \times 0.70 = 7.70$ |
| Japan | $50 \times 0.20 = 10$ | 78% | $10 \times 0.78 = 7.80$ |
| Srilanka | $50 \times 0.13 = 6.5$ | 60% | $6.5 \times 0.60 = 3.90$ |
| Indonesia | $50 \times 0.10 = 5$ | 73% | $5 \times 0.73 = 3.65$ |
| Pakistan | $50 \times 0.09 = 4.5$ | 66% | $4.5 \times 0.66 = 2.97$ |
| Bangladesh | $50 \times 0.08 = 4$ | 20% | $4 \times 0.20 = 0.80$ |
Total Scientific Method Production = $2.88 + 7.70 + 7.80 + 3.90 + 3.65 + 2.97 + 0.80 = 29.70$ lakh tonnes.
Average Scientific Method Production $= \frac{29.70}{7} \approx 4.24$ lakh tonnes.
Revision Table: Wheat Production Analysis
Here is a summary of the calculations for each country:
| Country | Country's % of Total Production | Total Production for Country (lakh tonnes) | Scientific Method % within Country | Scientific Method Production (lakh tonnes) |
|---|---|---|---|---|
| India | 18% | 9 | 32% | 2.88 |
| China | 22% | 11 | 70% | 7.70 |
| Japan | 20% | 10 | 78% | 7.80 |
| Srilanka | 13% | 6.5 | 60% | 3.90 |
| Indonesia | 10% | 5 | 73% | 3.65 |
| Pakistan | 9% | 4.5 | 66% | 2.97 |
| Bangladesh | 8% | 4 | 20% | 0.80 |
Additional Information: Data Interpretation Skills
This problem requires careful data interpretation from a table. Key skills include:
- Understanding percentages and how they apply to a total value.
- Calculating a percentage of a percentage.
- Summing up values from different categories.
- Calculating an average by dividing the sum by the count.
- Paying attention to the units (lakh tonnes) throughout the calculation.
- Knowing when and how to approximate or round the final answer.
Practice with similar data interpretation questions involving tables and percentages is crucial for exams.
Important Questions from Tabulation
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?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?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?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:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 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?
