The given pie-chart shows the number of students admitted into various schools, A, B, C, D, E, in a town. The total number of students is 6500. The number of boys in each school is given by the table. Study the pie-chart and the table carefully and answer the question that follows.

F1 SSC Priyas 19 10 24  D2

Schools  A B C D E
Number of boys 800  850  600  700  765 

The total number of boys in schools A, C, D is what percentage of the total number of girls in schools B, C, E (rounded to 2 decimal places)?

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  1. 1.2662
  2. 1.2963
  3. 1.2863
  4. 1.2062

Answer (Detailed Solution Below)

Option 2 : 1.2963
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Detailed Solution

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Given:

Total number of students = 6500

Percentage of students in schools A, B, C, D, E as given in the pie chart.

Number of boys in schools A, B, C, D, E as given in the table.

Formula used:

Number of girls = Total students in a school - Number of boys in that school

Percentage of boys in schools A, C, D = (Total boys in schools A, C, D / Total girls in schools B, C, E) × 100

Calculation:

Total students in school B = (22/100) × 6500 = 1430

Total students in school C = (16/100) × 6500 = 1040

Total students in school E = (21/100) × 6500 = 1365

Number of girls in school B = 1430 - 850 = 580

Number of girls in school C = 1040 - 600 = 440

Number of girls in school E = 1365 - 765 = 600

Total girls in schools B, C, E = 580 + 440 + 600 = 1620

Total boys in schools A, C, D = 800 + 600 + 700 = 2100

⇒ Percentage = (2100 / 1620) × 100

⇒ Percentage ≈ 129.63% or 1.2963. 

∴ The total number of boys in schools A, C, D is approximately 129.63% or 1.2963 of the total number of girls in schools B, C, E.

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