Question

$\dfrac{3}{4}$ of the salary per month is Rs.600. What is the salary per month?

Answer 1

Hint: We are given $\dfrac{3}{4}$ of the salary of the whole month. So, we will assume the salary to be equal to some variable $x$. We will then use the simple definition of fraction and the given information to calculate the salary of the whole month. We should be knowing the concept of fractions to solve this one accurately.

Complete step by step solution:
We are given that $\dfrac{3}{4}$ part of the whole salary is Rs.600. So let us assume that the total salary per month is Rs.$x$. Then according to the question, $\dfrac{3}{4}^{th}$ of this salary is Rs. 600. Mathematically this can be written as following:
$\dfrac{3}{4}\times x=600$
Now, we just need to solve this equation. For this, we multiply by 4 on both the sides:
$3\times x=600\times 4=2400$
Now we divide both the sides by 3 and we get the following:
$x=\dfrac{2400}{3}=800$
$\Rightarrow x=800$
Hence, the total salary of the month is found out to be Rs.800.

Note: We could also convert the fraction into decimal and do the multiplication thereafter. We have $\dfrac{3}{4}$ which when converted to fraction gives 0.75. So, when we multiply 0.75 with $x$ we get 2400. So if we want to calculate $x$ then we need to divide 2400 by 0.75 which will give the same answer as calculated earlier i.e. Rs.800. So it can be done using this way as well but only if you are sure about the calculations. Also, make sure that you have written the fraction correctly from the question. The wrong fraction would lead to an incorrect solution.