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Question

Following table provides figures (in rupees) on annual expenditure of a firm for two years - 2010 and 2011.
Category20102011
Raw material52006240
Power & fuel70009450
Salary & wages900012600
Plant & machinery2000025000
Advertising1500019500
Research & Development2200026400
In 2011, which of the following two categories have registered increase by same percentage?

The correct answer is
Raw material and Research & Development

Expenditure Percentage Increase Analysis (2010-2011)

The objective is to identify two expenditure categories that show the same percentage increase between 2010 and 2011 using the provided firm expenditure data.

Calculating Percentage Growth

The percentage increase for each category is calculated using the formula:

$ \text{Percentage Increase} = \frac{(\text{Expenditure}_{2011} - \text{Expenditure}_{2010})}{\text{Expenditure}_{2010}} \times 100\% $

Percentage Increase per Category

Calculations are performed for the relevant categories:

  • Raw material: $ \frac{(6240 - 5200)}{5200} \times 100\% = \frac{1040}{5200} \times 100\% = 20\% $
  • Salary & wages: $ \frac{(12600 - 9000)}{9000} \times 100\% = \frac{3600}{9000} \times 100\% = 40\% $
  • Power & fuel: $ \frac{(9450 - 7000)}{7000} \times 100\% = \frac{2450}{7000} \times 100\% = 35\% $
  • Advertising: $ \frac{(19500 - 15000)}{15000} \times 100\% = \frac{4500}{15000} \times 100\% = 30\% $
  • Research & Development: $ \frac{(26400 - 22000)}{22000} \times 100\% = \frac{4400}{22000} \times 100\% = 20\% $

Identifying Matching Percentages

Comparing the calculated percentage increases:

  • Raw material: 20%
  • Research & Development: 20%

The categories 'Raw material' and 'Research & Development' both show an identical percentage increase of 20%.

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Important Questions from Data Interpretation

  1. The table given below shows the earnings of two persons on five different days.

    Earnings
    Days PQ
    Monday105150
    Tuesday96110
    Wednesday65122
    Thursday115106
    Friday13068
    What is the ratio of total earnings of P to the total earnings of Q? 
  2. 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.

    ColourTotal toysPercentage of cars
    C150012
    C260015
    C340012.5
    C455010
    C565020
    C645010

    What is the total number of car toys of C2 and C3 taken together?

  3. 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:

  4. 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?

  5. 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?

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