Question

In a village in Maharashtra, there was a drought and the population decreased by 12%,since families moved out of the village to find livelihood. If there were only 1584 people left in the village after This year, how many people inhabited the village before the drought?

Answer 1

Answer:

1800

Step-by-step explanation:

let the population before drought = x

population left out is 12% = x × 12/100 = 12x/100

population remaining = 1584

$x - \frac{12x}{100} = 1584 \\ \frac{100x - 12x}{100} = 1584 \\ 100x - 12x = 1584 \times 100 \\ 88x = 1584 \times 100 \\ x = \frac{1584 \times 100}{88} \\ x = 18 \times 100 \: \: \: (88 \times 18 = 1584)\\ x = 1800$