SSC (English Medium) Class 8Maharashtra State Board
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# 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. - SSC (English Medium) Class 8 - Mathematics

ConceptApplication of Formula for Compound Interest

#### 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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#### APPEARS IN

Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 14: Compound interest
Practice Set 14.2 | Q: 2 | Page no. 93
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.
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