Multiple Choice Questions

The population of a city increased by 5 2 and 6 in the first second and third year respectively At t...........

Quantitative Aptitude (CHSL) Percentage

The population of a city increased by 5%, 2% and 6% in the first, second and third year, respectively. At the end of the third

year, the population became 56,763. Find the initial population of the city.

This questions was previously asked in

SSC CHSL 7th June 2022 Shift-1

53000

51000

52000

50000

- Let's denote the initial population as $P$ .

- The population after the first year increases by 5%: $P \times 1.05$ .

- The population after the second year increases by 2% on the new total: $P \times 1.05 \times 1.02$ .

- The population after the third year increases by 6% on the latest total: $P \times 1.05 \times 1.02 \times 1.06 = 56, 763$ .

- Now, let's calculate:

P \times 1.05 \times 1.02 \times 1.06 = 56,763

P \times 1.13436 = 56,763

P = \frac{56,763}{1.13436}

P \approx 50,000

- The initial population is indeed close to 50,000.

- Therefore, the correct option is Option 4: 50000.

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