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### Percentage       Question No. 1

Question: 10% of inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants let the village. The population is then reduced to 4050. Find the original inhabitants
5500
6000
6500
7000

### Explanation:

Let the total number is x, then

(100 - 25)% of (100 - 10)% x = 4050

75% of 90% of x = 4050

$\genfrac{}{}{1px}{}{75}{\mathrm{100}}$ × $\genfrac{}{}{1px}{}{90}{\mathrm{100}}$ × x = 4050

$\genfrac{}{}{1px}{}{3}{4}$ × $\genfrac{}{}{1px}{}{9}{\mathrm{10}}$ × x = 4050

x = $\genfrac{}{}{1px}{}{4050 × 4 × 10}{\mathrm{3 × 9}}$

x = $\genfrac{}{}{1px}{}{4050 × 40}{\mathrm{27}}$ = 6000