Study the charts given below carefully and answer the following questions. Pie…

2021

Study the charts given below carefully and answer the following questions. Pie chart shows the percentage distribution of total students (Science +Commerce) in 12th class of five different Zones and table shows the number of students in same class in science of same zones.

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Number of Commerce students in Western zone are how much more than Science students in Northern zone, Eastern zone and Southern zone together.

  1. A.

    660

  2. B.

    770

  3. C.

    630

  4. D.

    730

  5. E.

    690

Attempted by 1 students.

Show answer & explanation

Correct answer: E

Concept

In a combined pie-chart and table set, each zone's TOTAL is found from its pie percentage of the grand total. When a stream is split into two parts (Science and Commerce) and only one part is tabulated, the other part is the simple complement:

Commerce in a zone = (that zone's total) - (that zone's Science). The total of any zone = (zone's pie %) x (grand total).

Note on wording: when a question asks 'how much more' but the first quantity turns out to be the smaller one, the standard exam reading is the MAGNITUDE of the difference between the two quantities. Here the Western Commerce count is in fact the smaller side, so the required value is the size of the gap, not a signed amount.

Step-by-step working

  1. Grand total of all students = 4000.

  2. Western zone is 30% of the total, so Western total = 30% of 4000 = 1200.

  3. Science students in Western zone (from the table) = 750, so Commerce in Western = 1200 - 750 = 450.

  4. Science students in Northern + Eastern + Southern zones (read directly from the table) = 400 + 310 + 430 = 1140.

  5. Required difference = | 450 - 1140 | = 690.

Zone-wise breakdown

Zone

Pie %

Total

Science

Commerce

Northern

25%

1000

400

600

Eastern

10%

400

310

90

Southern

15%

600

430

170

Central

20%

800

600

200

Western

30%

1200

750

450

Cross-check

Comparing the two quantities directly: the combined Science count of the three named zones is 1140 and the Western Commerce count is 450, so the magnitude of their difference is 1140 - 450 = 690.

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