Question

In a factory production of scooter increased from 20000 to 26620 in 3 years find growth of annual rate

Answer 1

Given:

In a factory production of scooter increased from 20000 to 26620 in 3 years

To find:

The growth of annual rate

Solution:

The formula used for calculating the appreciation in the price of a valuable article is as follows:

$\boxed{\bold{A = P [1 + \frac{R}{100} ]^n}}$

where

A = value after n years

P = present value

R = rate of increase

n = no. of years

Here, we have

A = 26620

P = 20000

n = 3 years

Thereby substituting the values in the formula, we get

$26620 = 20000 [1 + \frac{R}{100} ]^3$

$\implies \frac{26620}{20000} = [1 + \frac{R}{100}]^3$

$\implies 1.331 = [1 + \frac{R}{100}]^3$

taking cube roots on both sides

$\implies \sqrt[3]{1.331} = \sqrt[3]{[1 + \frac{R}{100}]^3}$

$\implies 1.1 = 1 + \frac{R}{100}$

$\implies 1.1 - 1 = \frac{R}{100}$

$\implies 0.1 = \frac{R}{100}$

$\implies R = 0.1 \times 100$

$\implies \bold{ R = 10\%}$

Thus, the annual growth rate is → 10%.

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Answer 2

Answer:

33.3%

Step-by-step explanation:

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