#### Question

A shepherd has 200 sheep with him. Find the number of sheeps with him after 3 years if the increase in number of sheeps is 8% every year.

#### Solution

Here, P = Number of sheeps initially = 200

A = Number of sheeps after 3 years

R = Rate of increase of number of sheeps per year = 8 %

N = 3 years

A = P `(1 + "R"/100)^"N"`

= 200 `(1 + 8/100)^3`

= 200 `(1 + 2/25)^3`

= 200 `(27/25)^3`

= 251.94

= 252 (approx)

Hence, the number of sheeps after 3 years is 252.

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Solution A Shepherd Has 200 Sheep with Him. Find the Number of Sheeps with Him After 3 Years If the Increase in Number of Sheeps is 8% Every Year. Concept: Application of Formula for Compound Interest.