At the end of a year, a motor cat company announces that sales of a pickup are down 43% for the year. If sales

Question

At the end of a year, a motor cat company announces that sales of a pickup are down 43% for the year. If sales continue to decrease by 43% in each succeeding year, how long will it take for sales to decrease to zero?

1 year

2 years

3 years

4 years

More than five years

Answer 1

Assume initial sale to be 100

After 1 year,

Sale = 43% lesser --> which means sales=57

After 2 years, sales 43% lesser. This time 43% of 57

32.49

After 3 years, 18.5193

After 4 years, 10.556001

After 5 years, 6.0169....

Thus it takes more than 5 years