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Pie-chart I shows the distribution of students who appeared in Board examination from schools A, B, C, D and E and pie-chart II shows the distribution
Question

Pie-chart I shows the distribution of students who appeared in Board examination from schools A, B, C, D and E and pie-chart II shows the

distribution of students who passed the examination from these schools. Read both these pie-charts and answer the question :

​The total number of students who failed from schools B and D is what percent of the total number of students who passed from schools A and C?

A.

12

B.

131313\frac{1}{3}%

C.

15

D.

101310\frac{1}{3}%

Correct option is B

​​​Given:Total students appeared=1800Total students passed=1500Concept Used:Percentage calculationFormula Used:Number=Percentage100×TotalSolution:Bappeared=18100×1800=324Bpassed=18100×1500=270Bfailed=324270=54Dappeared=21100×1800=378Dpassed=24100×1500=360Dfailed=378360=18Total failed (B + D)=54+18=72Apassed=15100×1500=225Cpassed=21100×1500=315Total passed (A + C)=225+315=540Required percentage=72540×100=13.33%Final Answer:13.33%\textbf{Given:} \\\text{Total students appeared} = 1800 \\\text{Total students passed} = 1500 \\\textbf{Concept Used:} \\\text{Percentage calculation} \\\textbf{Formula Used:} \\\text{Number} = \frac{\text{Percentage}}{100} \times \text{Total} \\\textbf{Solution:} \\B_{\text{appeared}} = \frac{18}{100} \times 1800 = 324 \\B_{\text{passed}} = \frac{18}{100} \times 1500 = 270 \\B_{\text{failed}} = 324 - 270 = 54 \\D_{\text{appeared}} = \frac{21}{100} \times 1800 = 378 \\D_{\text{passed}} = \frac{24}{100} \times 1500 = 360 \\D_{\text{failed}} = 378 - 360 = 18 \\\text{Total failed (B + D)} = 54 + 18 = 72 \\A_{\text{passed}} = \frac{15}{100} \times 1500 = 225 \\C_{\text{passed}} = \frac{21}{100} \times 1500 = 315 \\\text{Total passed (A + C)} = 225 + 315 = 540 \\\text{Required percentage} = \frac{72}{540} \times 100 = 13.33\% \\\textbf{Final Answer:} \\13.33\%​​

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