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Study the following pie chart and answer the question. Total number of Children = 5,400Total number of Children attending School = 3,200The total numb
Question

Study the following pie chart and answer the question.

Total number of Children = 5,400

Total number of Children attending School = 3,200

The total number of children NOT attending school in villages A, E and D is approximately what percentage of the total number of children in A, B and C?

A.

50

B.

46

C.

45

D.

48

Correct option is D

Given:
Total number of children = 5400
Children attending school = 3200
Pie chart % distribution of total children and children attending school provided.
Formula Used:
Number = (Total × Percentage)100\frac{(\text{Total × Percentage})}{100}​​
Required Percentage = (Required Number)(Total of A, B, and C)×100 \frac{(\text{Required Number})}{(\text{Total of A, B, and C})} × 100​​
Solution:
Finding the number of children in each village (total 5400)
Village A: 28%×5400=151228\% \times 5400 = 1512​​
Village B: 18%×5400=97218\% \times 5400 = 972​​
Village C: 14%×5400=75614\% \times 5400 = 756​​
Village D: 16%×5400=86416\% \times 5400 = 864​​
Village E: 24%×5400=129624\% \times 5400 = 1296​​
Finding the number of children attending school in each village (total 3200)
Village A: 22%×3200=70422\% \times 3200 = 704​​
Village B: 16%×3200=51216\% \times 3200 = 512​​
Village C: 18%×3200=57618\% \times 3200 = 576​​
Village D: 15%×3200=48015\% \times 3200 = 480​​
Village E: 29%×3200=92829\% \times 3200 = 928​​
Calculating the number of children NOT attending school in villages A, E, and D
Village A NOT attending = 1512 - 704 = 808
Village E NOT attending = 1296 - 928 = 368
Village D NOT attending = 864 - 480 = 384
Total NOT attending = 808 + 368 + 384 = 1560
Total number of children in villages A, B, and C
Total (A + B + C) = 1512 + 972 + 756 = 3240
Required Percentage = (15603240)×100=48.15 \left( \frac{1560}{3240} \right) \times 100 =48.15%= 48.15\% 48\approx48% %​

Thus, the correct option is (d) 48


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