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
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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.