The table below shows the number of males (M) and Females (F) working in six Nationalized Banks in India, namely SBI, PNB, UCO, BOB, IOB and UBI located across six cities A-F. Based on the data in the table, answer the question : City-wise Distribution of Employees in BanksBank / City SBI PNB UCO BOB IOB UBI M F M F M F M F M F M F A 553 224 673 116 443 500 534 454 256 235 556 357 B 254 456 346 256 366 345 478 285 256 166 346 287 C 457 388 346 456 124 456 235 235 574 599 589 190 D 114 378 124 235 235 388 255 175 324 198 189 256 E 234 120 241 156 350 234 124 165 124 334 155 181 F 353 325 348 174 399 439 358 234 125 235 278 192
The ratio of the number of females to the number of males in City-E working in SBI, UCO and IOB together is :
172 : 177
To solve this problem, we need to determine the ratio of females to males working in the banks named SBI, UCO, and IOB in City-E. We will use the provided data in the table for this calculation.
First, let's extract the relevant data from the table:
| Bank | Males (M) | Females (F) |
|---|---|---|
| SBI | 234 | 120 |
| UCO | 350 | 234 |
| IOB | 124 | 334 |
Now, sum up the number of males and females across these three banks:
- Total males in SBI, UCO, and IOB: \(234 + 350 + 124 = 708\)
- Total females in SBI, UCO, and IOB: \(120 + 234 + 334 = 688\)
Next, calculate the ratio of females to males:
\(\text{Ratio of females to males} = \frac{688}{708}\)
To express this ratio in its simplest form, we need to find the greatest common divisor (GCD) of 688 and 708. The GCD of 688 and 708 is 4.
- Simplified female count: \(\frac{688}{4} = 172\)
- Simplified male count: \(\frac{708}{4} = 177\)
Thus, the simplified ratio of the number of females to the number of males is \(172 : 177\).
Therefore, the correct answer is: 172 : 177.
Among the given options, this matches the third option.
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