Question

If in 1998, the population of villages Y and V increase by 10% each and the percentage of population below poverty line remains unchanged for all the villages, then find the population of village V below poverty line in 1998, given that the population of village Y in 1997 was 30000.

• A. 11250
• B. 12760
• C. 13140
• D. 13780

Answer 1

The correct option is B 12760

Population of village Y in 1997 = 30000 (given).
Let the population of village V in 1997 be v.
Then, $15:10=30000:v\Rightarrow v=\frac{30000\times 10}{15}=20000$
Now, population of village V in $1998=20000+(10$
$\therefore$ Population of village V below poverty line in 1998 = 58% of 22000 = 12760.