Question 1263

The rainfall in Assam has been declining by 1 % every year. What will be the percentage of increase in the rainfall in 2001 over 2004?

Answer

3.06 %

Why?

Given- Percentage decline in rainfall per year = 1% Concept Used- Final Value = {Initial Value +/- (Rate of change/100)} n [where rate of change = Percentage increase or decrease per year and n = Number of years] Calculation- Let rainfall in the year 2001 be 1000000 units. Rainfall in year 2004 = 1000000(1 - 1/100) 3 ⇒ 1000000(99/100) 3 ⇒ 970299 Percentage increase of rainfall in 2001 over 2004 = (1000000 - 970299)/970299 × 100 ⇒ 29701/970299 × 100 ⇒ 3.06%