Question

revenue of ABC LTD is increased by 10%, 10%, 9.09%, 9.09% in the first year, second, third, fourth year respectively. Find overall percent at the end​

Answer 1

Answer:

Overall percent is 44%

Step-by-step explanation:

If initial revenue if x then

Revenue after 1st year

$=x+\frac{10}{100}x$

$=x+\frac{x}{10}$

$=\frac{11x}{10}$

$=1.1x$

Revenue after 2nd year

$=1.1x+\frac{10}{100}1.1x$

$=1.1x+\frac{1.1x}{10}$

$=\frac{11}{10}\times 1.1x$

$=1.21x$

Revenue after 3rd year

$=1.21x+\frac{9.09}{100}1.21x$

$=1.21x(1+0.0909)$

$=1.21x\times 1.0909$

$=1.319989x$

Revenue after 4th year

$=1.319980x(1+\frac{9.09}{100})$

$=1.319989x(1+0.0909)$

$=1.319989x\times 1.0909$

$=1.44x$

Overall increase

$=1.44x-x$

$=0.44x$

Percentage increase

$=\frac{0.44x}{x}\times 100$

$=44\%$

Hope this helps.

Answer 2

Answer:

The revenue is increased by 44% (approximately)

Step-by-step explanation:

In this question,

We have been given that

Revenue of ABC is increased by 10%, 10%, 9.09%, 9.09% in the 1st, 2nd, 3rd and 4th year respectively.

We need to find the overall percent

If initial revenue if x then

Revenue after 1st year

$x\ +\ \frac{10x}{100}$

$x\ +\ \frac{x}{10}$

$\frac{11x}{10}$

1.1x

Revenue after 2nd year

$\frac{11x}{10}\ +\ \frac{11x}{10}\times \frac{10}{100}$

$\frac{11x}{10}\ +\ \frac{11x}{100}$

1.1x + 0.11x

1.21x

Revenue after 3rd year

$1.21x\ +\1.21x\times \frac{9.09}{100}$

$1.21x\ +\ \frac{10.9989x}{100}$

1.21x  + 0.10998x

1.31998x

Revenue after 4th year

$1.31998x\ +\ 1.31998x\times \frac{9.09x}{100}$

$1.31998x\ +\ \frac{11.9986182}{100}$

1.31998x + 0.119986182x

1.439966182x

1.44x(approximately)

Overall increase

1.44x - x

0.44x

Percentage increase

$\frac{0.44x}{x}\times 100}$

= 44%

The revenue at the end is increased by 44%