Question

Out of an income of Rs. 15000, Nazima spends Rs 10200. What percent of her income does she save?

Answer 1

Hint: Here in this question we have to determine Nazima’s savings percentage. So first we go through the given question and then we write the given data and then by using the suitable arithmetic operation we determine the savings of Nazima and then by using the formula we determine the percentage.

Complete step-by-step answer:
This is a word problem, where the data is given in sentence form
On considering the given question.
The total income Nazima gets = Rs.15000
The amount spent by Nazima = Rs. 10200
Now we have to determine the amount saved by Nazima. To determine that we have to subtract the amount spent by Nazima from the total income.
Therefore the amount saved by Nazima = \[15000 - 10200\]
On subtracting we get
\[ \Rightarrow 4800\]
The amount Nazima saves = Rs 4800
Hence we have determined the savings amount, now we have to determine the percentage.
To calculate the percentage we divide the savings amount by total income and then we are multiplying it by 100.
\[ \Rightarrow \dfrac{{4800}}{{15000}} \times 100\% \]
On cancelling the zeros
\[ \Rightarrow \dfrac{{480}}{{15}}\% \]
On dividing 480 by 15 we get
\[ \Rightarrow 32\% \]
Therefore Nazima saves 32% of her total income.
So, the correct answer is “32%”.

Note: In a word problem the student should read each sentence, because each sentence will contain the data which is required to solve the given problem. The selection of arithmetic operations also depended on the sentence in the question. Since we are determining the percentage we have to write the symbol.