The 4% of a number is 120, the number is?

A) 2000

B) 3000

C) 5000

D) 4000

We have, 4% × x = 120

         (4/100) × x = 120 

                          x = 12000/4

                          x = 3000

Village x has a population of 68000 which is decreasing at the rate of 1200 per year. Village y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of two villages be equal?

A) 12

B) 13

C) 14

D) 15

Given:

Village x,

Population = 68000

Rate of decrease = 1200 per year

Village y,

Population = 42000

Rate of increase = 800 per year

To find:

The year when the population at both the villages are same.

Solution:

Framing an equation,

68000 – 1200 ( Years ) = 42000 + 800 ( Years )

Equating and solving for Years,

2000 ( Years ) = 26000

Years = 26000 / 2000

Years = 13