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Question

The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram? 

The correct answer is
4:1

To find the ratio of the revenue generated through the export of Item 1 per kilogram to the revenue generated through the export of Item 4 per kilogram, we follow these steps:

  1. From the given pie charts, we identify the percentage of exports and revenue for Items 1 and 4:
    • Item 1: Exports = 11%, Revenue = 12%
    • Item 4: Exports = 22%, Revenue = 6%
  2. Calculate the quantity of Item 1 exported: \(0.11 \times 500,000 = 55,000\) kg.
  3. Calculate the revenue from Item 1: \(0.12 \times 250\) crores = 30 crores.
  4. Revenue per kg for Item 1: \(\frac{30 \text{ crores}}{55,000 \text{ kg}} = \frac{3,000}{55} \text{ rupees/kg}\).
  5. Calculate the quantity of Item 4 exported: \(0.22 \times 500,000 = 110,000\) kg.
  6. Calculate the revenue from Item 4: \(0.06 \times 250\) crores = 15 crores.
  7. Revenue per kg for Item 4: \(\frac{15 \text{ crores}}{110,000 \text{ kg}} = \frac{1,500}{110} \text{ rupees/kg}\).
  8. Now, find the ratio of revenue per kg for Item 1 to Item 4:

\(\frac{\frac{3,000}{55}}{\frac{1,500}{110}} = \frac{3,000 \times 110}{1,500 \times 55} = \frac{330,000}{82,500} = 4\).

Thus, the required ratio is 4:1.

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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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