Olaf plants a garden and harvests 20 tomatoes the first year

Olaf plants a garden and harvests 20 tomatoes the first year. The garden produces 5% more tomatoes each year. How many tomatoes, total, does Olaf harvest during the first 10 years? A. 210 B. 226 C. 251 D. 283

Solution

First year olaf plants 20 tomatoes

Secons year produces 5 % more means 20 + ( 5% of 20) = 20 + ((5/ 100) * 20) = 20 + 1 =21

After 3 years 5 % more means 21 + ( 5% of 21) = 21 + ((5/ 100) * 21) = 21 + 1.05 =22.05 or 22

After 4 years 5 % more means 22 + ( 5% of 22) = 22 + ((5/ 100) * 22) = 22 + 1.1 =23.1 or 23

After 5 years 5 % more means 23 + ( 5% of 23) = 23 + ((5/ 100) * 23) = 23 + 1.15 =24.15 or 24

After 6 years 5 % more means 24 + ( 5% of 24) = 24 + ((5/ 100) * 24) = 24 + 1.2 =25.2or 25

After 7 years 5 % more means 25 + ( 5% of 25) = 25 + ((5/ 100) * 25) = 25 + 1.25 =26.25or 26

After 8 years 5 % more means 26 + ( 5% of 26) = 26 + ((5/ 100) * 26) = 26 + 1.3 =27.3or 27

After 9 years 5 % more means 27 + ( 5% of 27) = 27 + ((5/ 100) * 27) = 27 + 1.35 =28.35or 28

After 10 years 5 % more means 28 + ( 5% of 28) = 28 + ((5/ 100) * 28) = 28 + 1.4 =29.4or 29

So in all after 10 years it produces 20 + 21 +22.05 +23.1 +24.15 +25.2 + 26.25 + 27.3 + 28.35 + 29.4 = 246.8 or 248

The most nearest to 246 is 251

So correct option is C.