Question

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 ?

Answer 1

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 $=50+10\%of50=50+5=55$

Lucky's present salary $=55+10\%of55=55+5.5=60.5$

Lucky's present salary of $60.5=50\%$ of Karthik's present salary of $121$.