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Question

Study the table given below and answer the questions that follow :
The table below shows the cost price (in Rupees) and sale price (in Rupees) of four items for five years.
 

YearItem AItem BItem CItem D
Cost PriceSale priceCost PriceSale PriceCost priceSale PriceCost PriceSale Price
201520000023000010000011000025000287502500028750
201614000016100015000016500027500316252750031900
201721000024150016000017600040000440003000035100
201818500021275019000020900033300382954000047200
201917000019550019950022144534000391003400040460

Which item has profit in the same percentage on cost during first two and last two years only ?

The correct answer is
C

To determine which item has the same percentage profit on cost during the first two and last two years, we need to calculate the percentage profit for each item for the years 2015, 2016, 2018, and 2019 using the given cost price (CP) and sale price (SP) from the table.

The formula to calculate percentage profit is:

\(\text{Percentage Profit} = \left(\frac{\text{SP} - \text{CP}}{\text{CP}}\right) \times 100\)

Let's calculate the percentage profit for each item:

Item A:

  • 2015: \(\left(\frac{230000 - 200000}{200000}\right) \times 100 = 15\%\)
  • 2016: \(\left(\frac{161000 - 140000}{140000}\right) \times 100 = 15\%\)
  • 2018: \(\left(\frac{212750 - 185000}{185000}\right) \times 100 = 15\%\)
  • 2019: \(\left(\frac{195500 - 170000}{170000}\right) \times 100 = 15\%\)

Item B:

  • 2015: \(\left(\frac{110000 - 100000}{100000}\right) \times 100 = 10\%\)
  • 2016: \(\left(\frac{165000 - 150000}{150000}\right) \times 100 = 10\%\)
  • 2018: \(\left(\frac{209000 - 190000}{190000}\right) \times 100 = 10\%\)
  • 2019: \(\left(\frac{221445 - 199500}{199500}\right) \times 100 = 11\%\)

Item C:

  • 2015: \(\left(\frac{28750 - 25000}{25000}\right) \times 100 = 15\%\)
  • 2016: \(\left(\frac{31625 - 27500}{27500}\right) \times 100 = 15\%\)
  • 2018: \(\left(\frac{38295 - 33300}{33300}\right) \times 100 = 15\%\)
  • 2019: \(\left(\frac{39100 - 34000}{34000}\right) \times 100 = 15\%\)

Item D:

  • 2015: \(\left(\frac{28750 - 25000}{25000}\right) \times 100 = 15\%\)
  • 2016: \(\left(\frac{31900 - 27500}{27500}\right) \times 100 \approx 16\%\)
  • 2018: \(\left(\frac{47200 - 40000}{40000}\right) \times 100 = 18\%\)
  • 2019: \(\left(\frac{40460 - 34000}{34000}\right) \times 100 = 19\%\)

From the above calculations, Item C has the same percentage profit of 15% during both the first two (2015, 2016) and last two years (2018, 2019).

Conclusion: The correct answer is Option C.

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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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