 Hello and welcome to the session. Let's work out the following problem. It says a man starts his job with a certain salary and earns a fixed increment every year. If his salary was Rs. 1500 after 4 years of service and Rs. 1800 after 10 years of service, what was his starting salary? What is his annual increment? So let's now move on to the solution. We have to find the starting salary and the annual increment of the man. So let the starting salary be equal to Rs. x and the annual increment be equal to Rs. y. Now we are given that his salary was Rs. 15 year after 4 years of service. So the increment earned in 4 years will be Rs. 4 y since the annual increment is Rs. y and number of years are 4. So increment earned in 4 years will be Rs. 4 y. Now we are given that after 4 years his salary was Rs. 1500. So after 4 years the salary was 1500 that is the starting salary plus the increment earned in 4 years is equal to 1500. Similarly increment earned in 10 years will be Rs. 10 y and we are given that after 10 years of service his salary was Rs. 1800. So the starting salary plus increment earned in 10 years is equal to Rs. 1800. Let's name this as 1 and this is 2. Subtract equation 2 from 1. Equation 1 is x plus 4 y is equal to Rs. 1500. Equation 2 is x plus 10 y is equal to 1800. Now we have to subtract equation 2 from equation 1. So when we subtract sign will change. Now plus 6 gets cancelled with minus 6. 4 y minus 10 y is minus 6 y. 1500 minus 1800 is minus 300. Now minus sign gets cancelled on both sides. So we have y is equal to 300 upon 6. So this implies y is equal to 50. So the annual increment is Rs. 50. Now to find the value of x we will put the value of y in any one of the two equations. So we will put y is equal to 50 in 1. So x plus 4 into 50 is equal to 1500. So this implies x plus 200 is equal to 1500. So this implies x is equal to 1500 minus 200. So this implies x is equal to 1300. Therefore, stopping salary is Rs. 1300 and the annual increment is Rs. 50. So this completes the question. Bye for now. Take care. Have a good day.