Question 8 - Figure it out - Page 22, 23, 24 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

Transcript

Question 8 The population of a city is rising by about 3% every year. If the current population is 1.5 crore, what is the expected population after 3 years?Given, Population = P = 1.5 crore Rate = R = 3% per year = 𝟑/𝟏𝟎𝟎 Time = t = 3 years Since 3% is compounded rate, We use the formula A = P (𝟏+𝑹/𝟏𝟎𝟎)^𝒕 Where A = Population after 3 years Putting values in formula A = 𝟏.𝟓(𝟏+𝟑/𝟏𝟎𝟎)^𝟑 = 1.5× ((100 + 3)/100)^3 = 1.5 × (103/100)^3 = 15/10 × (103/100)^3 = 15/10 ×1092727/10,00,000 = 16390905/1,00,00,000 = 1.639 crores