Questions for: Table Charts
Total number of employees of various categories working in the Company in 1997 are:
| Managers | = (760 + 280 + 179) - (120 + 92) = 1007. |
| Technicians | = (1200 + 272 + 240) - (120 + 128) = 1464. |
| Operators | = (880 + 256 + 240) - (104 + 120) = 1152. |
| Accountants | = (1160 + 200 + 224) - (100 + 104) = 1380. |
| Peons | = (820 + 184 + 152) - (96 + 88) = 972. |
Pooled average of all the five categories of employees working in the Company in 1997
| = | 1 | x (1007 + 1464 + 1152 + 1380 + 972) |
| 5 |
| = | 1 | x (5975) |
| 5 |
= 1195.
Number of Managers working in the Company:
| In 1995 | = 760. |
| In 2000 | = (760 + 280 + 179 + 148 + 160 + 193) - (120 + 92 + 88 + 72 + 96) |
| = 1252. |
Percentage increase in the number of Managers
| = | ![]() |
(1252 - 760) | x 100 | ![]() |
% = 64.74%. |
| 760 |
Number of Technicians working in the Company:
| In 1995 | = 1200. |
| In 2000 | = (1200 + 272 + 240 + 236 + 256 + 288) - (120 + 128 + 96 + 100 + 112) |
| = 1936. |
Percentage increase in the number of Technicians
| = | ![]() |
(1936 - 1200) | x 100 | ![]() |
% = 61.33%. |
| 1200 |
Number of Operators working in the Company:
| In 1995 | = 880. |
| In 2000 | = (880 + 256 + 240 + 208 + 192 + 248) - (104 + 120 + 100 + 112 + 144) |
| = 1444. |
Percentage increase in the number of Operators
| = | ![]() |
(1444 - 880) | x 100 | ![]() |
% = 64.09%. |
| 880 |
Number of Accountants working in the Company:
| In 1995 | = 1160. |
| In 2000 | = (1160 + 200 + 224 + 248 + 272 + 260) - (100 + 104 + 96 + 88 + 92) |
| = 1884. |
Percentage increase in the number of Accountants
| = | ![]() |
(1884 - 1160) | x 100 | ![]() |
% = 62.41%. |
| 1160 |
Number of Peons working in the Company:
| In 1995 | = 820. |
| In 2000 | = (820 + 184 + 152 + 196 + 224 + 200) - (96 + 88 + 80 + 120 + 104) |
| = 1288. |
Percentage increase in the number of Peons
| = | ![]() |
(1288 - 820) | x 100 | ![]() |
% = 57.07%. |
| 820 |
Clearly, the percentage increase is maximum in case of Managers.
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Total number of Peons working in the Company in 1999
= (820 + 184 + 152 + 196 + 224) - (96 + 88 + 80 + 120)
= 1192.
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Required difference
= (272 + 240 + 236 + 256 + 288) - (200 + 224 + 248 + 272 + 260)
= 88.
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Total number of failures in half-yearly exams in a section
= [ (Number of students failed in both exams)
+ (Number of students failed in half-yearly but passed in Annual exams)
] in that section
Failure rate in half-yearly exams in Section A
| = | ![]() |
Number of students of Section A failed in half-yearly | x 100 | ![]() |
% |
| Total number of students in Section A |
| = | ![]() |
(28 + 14) | x 100 | ![]() |
% |
| (28 + 14 + 6 + 64) |
| = | ![]() |
42 | x 100 | ![]() |
% |
| 112 |
= 37.5%.
Similarly, failure rate in half-yearly exams in:
| Section B | ![]() |
(23 + 12) | x 100 | ![]() |
% = | ![]() |
35 | x 100 | ![]() |
% = 32.71%. |
| (23 + 12 + 17 + 55) | 107 |
| Section C | ![]() |
(17 + 8) | x 100 | ![]() |
% = | ![]() |
25 | x 100 | ![]() |
% = 31.25%. |
| (17 + 8 + 9 + 46) | 80 |
| Section D | ![]() |
(27 + 13) | x 100 | ![]() |
% = | ![]() |
40 | x 100 | ![]() |
% = 30.53%. |
| (27 + 13 + 15 + 76) | 131 |
Clearly, the failure rate is minimum for Section D.
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