DAV Class 7 Maths Chapter 5 Value Based Questions
Application of Percentage Value Based Questions
1. In a survey it was found that out of 125 people in a park, 12% jog, 16% do yoga and the rest prefer to walk.
(a) Find the number of people who prefer to walk.
Solution
\[ \begin{align*} \text{% of people who jog} &= 12\% \\ \text{% of people who do yoga} &= 16\% \\ \text{% of people who do Walk} &= 100 \% - (12\%+16\%) \\ &= 100 \% - 28\% \\ &= 72\% \\ \\ \text{Total people} &= 125 \\ \text{No. of people who prefer to walk} &= 72 \% \text{ of Total People} \\ \\ &= \frac{72}{100} \times 125 \\\end{align*} \]
Answer The number of people who prefer to walk \( = \color{red} 90 \)
(b) Discuss the importance of exercises like jogging, yoga, walking, etc.
Answer All these exercises keep us active, fit, physically and mentally alert.
2. The library teacher of a school keeps record of students of each class about their reading habits. The results of Class-VII students for the month of April are as follows:
| Books read | Percentage |
|---|---|
| 0 | 14% |
| 1–3 | 28% |
| 4–6 | 26% |
| More than 6 | 32% |
(a) If total number of students of Class-VII is 500, how many students had read books in the month of April?
Solution
\[ \begin{align*} \text{Percentage of students who read} &= 28\% + 26\% + 32\% \\ &= 86\% \\ \\ \text{Total students} &= 500\\ \text{No. of students who read} &= 86\% \text{ of } 500 \\ \\ &= \frac{86}{\cancel{100}_1} \times \cancel{500}^5 \\ \\ &= 86 \times 5 \\ & = 430 \, students \end{align*} \]
Answer No. of students who read books \( = \color{red} 430 \, students\)
(b) What is the importance of reading books?
Answer Reading books increases vocabulary, improves thought process etc.