Question

Joan started work 2 years ago. Her starting salary was half of Mike's salary at that time. Each year since then Joan and Mike have received a rise of 10% in their respective salary. What percentage (to the nearest percent) of Mike's current salary is Joan's current salary?

Answer 1

Hello mate

Here is Ur answer



Let the salary of Mike 2 years ago be Rs.100
So, Joan's salary 2 years ago was Rs.50

Mikes present salary has seen two 10 percent increases. So has Joan's salary.
So, Mike's salary 1 year ago = 100 + 10% of 100 = 100 + 10 = 110.
Mike's present salary = 110 + 10% of 110 = 110 + 11 = 121.

Joan's salary 1 year ago = 50 + 10% of 50 = 50 + 5 = 55
Joan's present salary = 55 + 10% of 55 = 55 + 5.5 = 60.5

Joan's present salary of 60.5 = 50% of Mike's present salary of 121.

Hope it will help you

Answer 2

The answer is 50%.

Step-by-step explanation:

Let the salary of Joan be 'y' two years back.

Then, the salary Mike will be '2y'.

So, last year, the salary that Joan would have received

= y + 10% of y $= y + \frac{10y}{100}$ $= y + 0.1y =1.1 y$

And, last year, the salary that Mike would have received

= 2y + 10% of 2y $= 2y + \frac{10\times2y}{100}$ $= 2y + 0.2y =2.2 y$

Now, finding the current salaries of both Joan and Mike

For Joan, the salary would be

= 1.1y + 10% of 1.1y $= 1.1y + \frac{10\times 1.1y}{100}$ $= 1.1y + 0.11y =1.21 y$

For Mike, the salary would be

= 2.2 y + 10% of 2.2y $= 2.2y + \frac{10\times2.2y}{100}$ $= 2.2y + 0.22y =2.42 y$

Thus, finding the percentage of Joan's current salary to Mike's current salary $=\frac{1.21y}{2.42y}\times100$ $= 50$

Hence, the answer is 50%.