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

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Solution

Let the salary of Karthik $2$ years ago be Rs. $100$
So, Lucky's salary $2$ years ago was Rs. $50$ Karthik's present salary has seen two $10$ percent increases. So as Lucky's salary.
So, Karthik's salary $1$ year ago $= 100 + 10 %$ of $100 = 100 + 10 = 110$ .
Karthik's present salary $= 110 + 10 %$ of $110 = 110 + 11 = 121$ .
Lucky's salary $1$ year ago $= 50 + 10 % o f 50 = 50 + 5 = 55$
Lucky's present salary $= 55 + 10 % o f 55 = 55 + 5.5 = 60.5$
Lucky's present salary of $60.5 = 50 %$ of Karthik's present salary of $121$ .

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