Answer the questions based on the information given below. The pie chart given below shows the degree distribution of total population of five different villages i.e. ‘A’, ‘B’, ‘C’, ‘D’ and ‘E’ out of total population of all the five villages together, in degree measures. The bar graph given below shows the number of literate males and number of employed people in the respective village. Note : Number of literate males in village ‘A’ is 512. Number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. Number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. 62.5% of total population of village ‘C’ is illiterate. Number of females in village ‘A’ is same as number of males in village ‘C’. Number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’. Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. In village ‘B’, 50% of total population are males while number of males in village ‘E’ is 160 more than number of females in it which is 32 less than number of illiterate people in village ‘A’. Number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
Question: 1
Number of illiterate females in village ‘A’ is how much percent of number of un-employed people in the same village.
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and 62.5% of total population of village ‘C’ is illiterate. So, number of literate females in village ‘C’ = 1.05 × 480 = 504 Total number of literate people in village ‘C’ = 504 + 360 = 864 Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304 Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000 Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728 Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536 Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248 Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184 Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. So, number of un-employed people in village ‘E’ = 1184 – 384 = 800 So, number of males in village ‘C’ = 1.26 × 800 = 1008 Number of females in village ‘C’ = 2304 – 1008 = 1296 Number of illiterate males in village ‘C’ = 1008 – 360 = 648 Number of illiterate females in village ‘C’ = 1296 – 504 = 792 Since, number of females in village ‘A’ is same as number of males in village ‘C’. So, number of females in village ‘A’ = 1008 Number of males in village ‘A’ = 1728 – 1008 = 720 Number of illiterate males in village ‘A’ = 720 – 512 = 208 Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of females which is 32 less than number of illiterate people in village ‘A’. So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768 And, number of males in village ‘E’ = (\(\frac{1(184 + 160)}{2}\)} = 672 Number of females in village ‘E’ = 1184 – 672 = 512 Number of illiterate people in village ‘A’ = 512 + 32 = 544 So, number of illiterate females in village ‘A’ = 544 – 208 = 336 And, number of literate females in village ‘A’ = 1008 – 336 = 672 Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. So, number of illiterate people in village ‘B’ = 1296/2 = 648 Number of illiterate males in village ‘B’ = 768 – 408 = 360 Number of illiterate females in village ‘B’ = 648 – 360 = 288 Number of literate females in village ‘B’ = 768 – 288 = 480 Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. So, number of females in village ‘D’ = 720 Number of males in village ‘D’ = 1248 – 720 = 528 Number of illiterate males in village ‘D’ = 528 – 288 = 240 Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’. So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624 Number of illiterate females in village ‘D’ = 624 – 240 = 384 Number of literate females in village ‘D’ = 720 – 384 = 336 Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’. Number of illiterate people in village ‘E’ = 720 – 160 = 560 Number of illiterate females in village ‘E’ = 512 – 312 = 200 Number of literate females in village ‘E’ = 512 – 200 = 312
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and 62.5% of total population of village ‘C’ is illiterate. So, number of literate females in village ‘C’ = 1.05 × 480 = 504 Total number of literate people in village ‘C’ = 504 + 360 = 864 Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304 Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000 Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728 Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536 Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248 Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184 Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. So, number of un-employed people in village ‘E’ = 1184 – 384 = 800 So, number of males in village ‘C’ = 1.26 × 800 = 1008 Number of females in village ‘C’ = 2304 – 1008 = 1296 Number of illiterate males in village ‘C’ = 1008 – 360 = 648 Number of illiterate females in village ‘C’ = 1296 – 504 = 792 Since, number of females in village ‘A’ is same as number of males in village ‘C’. So, number of females in village ‘A’ = 1008 Number of males in village ‘A’ = 1728 – 1008 = 720 Number of illiterate males in village ‘A’ = 720 – 512 = 208 Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of females which is 32 less than number of illiterate people in village ‘A’. So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768 And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672 Number of females in village ‘E’ = 1184 – 672 = 512 Number of illiterate people in village ‘A’ = 512 + 32 = 544 So, number of illiterate females in village ‘A’ = 544 – 208 = 336 And, number of literate females in village ‘A’ = 1008 – 336 = 672 Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. So, number of illiterate people in village ‘B’ = 1296/2 = 648 Number of illiterate males in village ‘B’ = 768 – 408 = 360 Number of illiterate females in village ‘B’ = 648 – 360 = 288 Number of literate females in village ‘B’ = 768 – 288 = 480 Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. So, number of females in village ‘D’ = 720 Number of males in village ‘D’ = 1248 – 720 = 528 Number of illiterate males in village ‘D’ = 528 – 288 = 240 Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’. So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624 Number of illiterate females in village ‘D’ = 624 – 240 = 384 Number of literate females in village ‘D’ = 720 – 384 = 336 Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’. Number of illiterate people in village ‘E’ = 720 – 160 = 560 Number of illiterate females in village ‘E’ = 512 – 312 = 200 Number of literate females in village ‘E’ = 512 – 200 = 312
Number of males
Number of females
Village
Total population
Total
Literate
Illiterate
Total
Literate
Illiterate
Number of un-employed people
A
1728
720
512
208
1008
672
336
1728-648=1080
B
1536
768
408
360
768
480
288
1536-576=960
C
2304
1008
360
648
1296
504
792
2304-624=1680
D
1248
528
288
240
720
336
384
1248-480=768
E
1184
672
312
360
512
312
200
1184-384=800
Desired ratio = 408:480 = 17:20
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Question: 3
In village ‘C’, if 20% of number of literate males and 75% of number of literate females, are employed and rest are un-employed while number of illiterate males who are unemployed is 45% of total number of illiterate people in the same village, then find the number of illiterate females who are unemployed in village ‘C’.
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and 62.5% of total population of village ‘C’ is illiterate. So, number of literate females in village ‘C’ = 1.05 × 480 = 504 Total number of literate people in village ‘C’ = 504 + 360 = 864 Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304 Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000 Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728 Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536 Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248 Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184 Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. So, number of un-employed people in village ‘E’ = 1184 – 384 = 800 So, number of males in village ‘C’ = 1.26 × 800 = 1008 Number of females in village ‘C’ = 2304 – 1008 = 1296 Number of illiterate males in village ‘C’ = 1008 – 360 = 648 Number of illiterate females in village ‘C’ = 1296 – 504 = 792 Since, number of females in village ‘A’ is same as number of males in village ‘C’. So, number of females in village ‘A’ = 1008 Number of males in village ‘A’ = 1728 – 1008 = 720 Number of illiterate males in village ‘A’ = 720 – 512 = 208 Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of females which is 32 less than number of illiterate people in village ‘A’. So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768 And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672 Number of females in village ‘E’ = 1184 – 672 = 512 Number of illiterate people in village ‘A’ = 512 + 32 = 544 So, number of illiterate females in village ‘A’ = 544 – 208 = 336 And, number of literate females in village ‘A’ = 1008 – 336 = 672 Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. So, number of illiterate people in village ‘B’ = 1296/2 = 648 Number of illiterate males in village ‘B’ = 768 – 408 = 360 Number of illiterate females in village ‘B’ = 648 – 360 = 288 Number of literate females in village ‘B’ = 768 – 288 = 480 Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. So, number of females in village ‘D’ = 720 Number of males in village ‘D’ = 1248 – 720 = 528 Number of illiterate males in village ‘D’ = 528 – 288 = 240 Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’. So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624 Number of illiterate females in village ‘D’ = 624 – 240 = 384 Number of literate females in village ‘D’ = 720 – 384 = 336 Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’. Number of illiterate people in village ‘E’ = 720 – 160 = 560 Number of illiterate females in village ‘E’ = 512 – 312 = 200 Number of literate females in village ‘E’ = 512 – 200 = 312
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and 62.5% of total population of village ‘C’ is illiterate. So, number of literate females in village ‘C’ = 1.05 × 480 = 504 Total number of literate people in village ‘C’ = 504 + 360 = 864 Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304 Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000 Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728 Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536 Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248 Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184 Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. So, number of un-employed people in village ‘E’ = 1184 – 384 = 800 So, number of males in village ‘C’ = 1.26 × 800 = 1008 Number of females in village ‘C’ = 2304 – 1008 = 1296 Number of illiterate males in village ‘C’ = 1008 – 360 = 648 Number of illiterate females in village ‘C’ = 1296 – 504 = 792 Since, number of females in village ‘A’ is same as number of males in village ‘C’. So, number of females in village ‘A’ = 1008 Number of males in village ‘A’ = 1728 – 1008 = 720 Number of illiterate males in village ‘A’ = 720 – 512 = 208 Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of females which is 32 less than number of illiterate people in village ‘A’. So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768 And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672 Number of females in village ‘E’ = 1184 – 672 = 512 Number of illiterate people in village ‘A’ = 512 + 32 = 544 So, number of illiterate females in village ‘A’ = 544 – 208 = 336 And, number of literate females in village ‘A’ = 1008 – 336 = 672 Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. So, number of illiterate people in village ‘B’ = 1296/2 = 648 Number of illiterate males in village ‘B’ = 768 – 408 = 360 Number of illiterate females in village ‘B’ = 648 – 360 = 288 Number of literate females in village ‘B’ = 768 – 288 = 480 Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. So, number of females in village ‘D’ = 720 Number of males in village ‘D’ = 1248 – 720 = 528 Number of illiterate males in village ‘D’ = 528 – 288 = 240 Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’. So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624 Number of illiterate females in village ‘D’ = 624 – 240 = 384 Number of literate females in village ‘D’ = 720 – 384 = 336 Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’. Number of illiterate people in village ‘E’ = 720 – 160 = 560 Number of illiterate females in village ‘E’ = 512 – 312 = 200 Number of literate females in village ‘E’ = 512 – 200 = 312
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and 62.5% of total population of village ‘C’ is illiterate. So, number of literate females in village ‘C’ = 1.05 × 480 = 504 Total number of literate people in village ‘C’ = 504 + 360 = 864 Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304 Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000 Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728 Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536 Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248 Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184 Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. So, number of un-employed people in village ‘E’ = 1184 – 384 = 800 So, number of males in village ‘C’ = 1.26 × 800 = 1008 Number of females in village ‘C’ = 2304 – 1008 = 1296 Number of illiterate males in village ‘C’ = 1008 – 360 = 648 Number of illiterate females in village ‘C’ = 1296 – 504 = 792 Since, number of females in village ‘A’ is same as number of males in village ‘C’. So, number of females in village ‘A’ = 1008 Number of males in village ‘A’ = 1728 – 1008 = 720 Number of illiterate males in village ‘A’ = 720 – 512 = 208 Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of females which is 32 less than number of illiterate people in village ‘A’. So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768 And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672 Number of females in village ‘E’ = 1184 – 672 = 512 Number of illiterate people in village ‘A’ = 512 + 32 = 544 So, number of illiterate females in village ‘A’ = 544 – 208 = 336 And, number of literate females in village ‘A’ = 1008 – 336 = 672 Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. So, number of illiterate people in village ‘B’ = 1296/2 = 648 Number of illiterate males in village ‘B’ = 768 – 408 = 360 Number of illiterate females in village ‘B’ = 648 – 360 = 288 Number of literate females in village ‘B’ = 768 – 288 = 480 Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. So, number of females in village ‘D’ = 720 Number of males in village ‘D’ = 1248 – 720 = 528 Number of illiterate males in village ‘D’ = 528 – 288 = 240 Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’. So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624 Number of illiterate females in village ‘D’ = 624 – 240 = 384 Number of literate females in village ‘D’ = 720 – 384 = 336 Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’. Number of illiterate people in village ‘E’ = 720 – 160 = 560 Number of illiterate females in village ‘E’ = 512 – 312 = 200 Number of literate females in village ‘E’ = 512 – 200 = 312
