Question

Meeta saves Rs. 400 from her salary. If this is 10% of her salary. What is her salary?
Rs 7000
Rs 6000
Rs 4000
Rs 5000

Answer 1

Hint: First write the equation of the 10% of Meeta’s salary by simply multiplying it by $\dfrac{10}{100}$ and then equate it with 400 to get the salary of Meeta.

Complete step by step answer:
To solve the above problem we will write the given data first,
Salary saved by Meeta = Rs. 400
And the salary saved by Meeta is only 10% of her salary.
Therefore we have to write the 10% of her salary which can be given by simply multiplying her salary by 10%, therefore we will get,
10% of Meeta’s salary = Salary of Meeta $\times $ 10% ………………………………… (1)
To proceed further in the solution we should know how to represent percentage in numbers which is shown In the formula,
Formula:
$x%=\dfrac{x}{100}$, Where ‘x’ is any number.
By using above formula we can write equation (1) as,
10% of Meeta’s salary = Salary of Meeta $\times $ $\dfrac{10}{100}$
10% of Meeta’s salary = Salary of Meeta $\times $ $\dfrac{1}{10}$ …………………………… (2)
But as given in the problem Meeta saves Rs. 400 from her salary which is 10% of her salary,
Therefore, 10% of Meeta’s salary = Rs. 400 …………………………………… (3)
If we equate out the values of equation (3) in equation (2) we will get,
400 = Salary of Meeta $\times $ $\dfrac{1}{10}$
By shifting $\dfrac{1}{10}$ on the left hand side of the above equation we will get,
Therefore, $400\times 10$ = Salary of Meeta
By rearranging the above equation we will get,
Therefore, Salary of Meeta = $400\times 10$
Therefore, Salary of Meeta =Rs. 4000
Therefore the salary of Meeta is Rs. 4000.
Therefore the correct answer is option (c).

Note: If you know the value of 10% is $\dfrac{1}{10}$ then you can get the answer orally by simply multiplying the savings by 10. Although the procedure is important to solve complex problems.