Question

The salary of bank clerk was increased by 7%. If his present salary is Rs. 8025, then his salary before increment is
(a) Rs. 7500
(b) Rs. 8500
(c) Rs. 7000
(d) Rs. 8000

Answer 1

Hint: First, before proceeding for this, we must suppose that the salary before increment is Rs. x. Then, we are given with the condition that the salary is increased by 7% and then the revised salary amount becomes as Rs. 8025 to get the value of increased salary as $x+\dfrac{7x}{100}$. Then, we are given with the value of above expression which is incremented salary value as Rs. 8025, we get the desired value of salary before increment.

Complete step by step answer:
In this question, we are supposed to find the salary of bank clerk before increment when the present salary is Rs. 8025 and the incremental percentage is 7%.
So, before proceeding for this, we must suppose that the salary before increment is Rs. x.
Now, we are given with the condition that the salary is increased by 7% and then the revised salary amount becomes as Rs. 8025.
So, we need to calculate the increment of 7% over x which is given by:
$\dfrac{7}{100}\times x=\dfrac{7x}{100}$
So, we get the total salary after increment is given by:
$x+\dfrac{7x}{100}$
Then, by solving the above expression, we get:
$\dfrac{100x+7x}{100}=\dfrac{107x}{100}$
Then, we are given with the value of above expression which is incremented salary value as Rs. 8025.
$\dfrac{107x}{100}=8025$
Then, by solving the above expression, we get the value of x which is original salary as:
$\begin{align}
  & x=8025\times \dfrac{100}{107} \\
 & \Rightarrow x=\dfrac{802500}{107} \\
 & \Rightarrow x=7500 \\
\end{align}$
So, we get the salary of the bank clerk before an increment of 7% is Rs. 7500.
So, the correct answer is “Option a”.

Note:
Now, in this type of question we must be careful with the conditions given as the given value if the increased value after increasing the amount given by 7%. But by mistake we can consider it as the present value then increment it by 7% which gives us the wrong answer. So, we should be careful with the given conditions in these type of questions.