Question

A man got a 10% increase in his salary. If his new salary is Rs. 1,54,000. Find his original salary.

Answer 1

Hint: Let the original salary, i.e., the old salary of the man be x. Now as it is given that the new salary of the person is Rs. 1,54,000, after an increment of 10%, so form the equation and solve to get the value of x.
Complete step-by-step answer:
Let the original salary, i.e., the old salary of the man be x rupees. If we look at the situation given in the question we will find that a 10% increase in the salary makes the salary of the man equal to Rs. 1,54,000. So, if we use the data and represent it in form of mathematical equation, we get
New salary= old salary + 10% of the old salary.
New salary=x+10% of x
Now, we know that k% of y implies $\dfrac{k}{100}\times y$ . So, if we use this in our equation, our equation becomes:
New salary = $x+\dfrac{10}{100}x$ .
Now, if we substitute the value of new salary with the value given in the question, we get
154000 = $x+\dfrac{10}{100}x$ .
Now, if we take the LCM of the right-hand side of the equation to be 100, we get
$154000=\dfrac{110x}{100}$
$\Rightarrow 154000=\dfrac{11x}{10}$
$\Rightarrow \dfrac{154000\times 10}{11}=x$
$\Rightarrow 140000=x$
Therefore, the original salary of the man is Rs. 1,40,000.
Note: Don’t get confused and take 10% increment with respect to the new salary, i.e., Rs. 1,54,000. Also, be careful with the calculations and solving part as there is a possibility of making a mistake in the calculations. It is recommended to learn all the basic formulas related to simple as well as compound interests as they are very much useful in the problems related to money exchange.