**GSEB Solutions for Class 7 Mathematics – Pie Graph (English Medium)**

GSEB SolutionsMathsScience

**Exercise**

**Solution 1:**

1. The expenditure on education is 10% of the monthly income.

2. Percentage of income saved = 20%

Hence, Amount saved = 20% of monthly income

= 20% of Rs. 7200

Thus, the budget for savings in terms of money is Rs. 1440.

3. Degree measure for the expenditure on clothes

= 5% of the total degree measure

Thus, the degree measure for the expenditure on clothes is 18°.

4. The maximum expenditure is done on food i.e. 40%.

**Solution 2:**

1. Number of students who took part in the lemon and spoon race

Thus, 15 students took part in the lemon and spoon race.

2. From the pie graph, we observe that the least number of students took part in high jump.

3. From the graph, we observe that the maximum number of students took part in running.

4. Number of students who took part in shot put.

Thus, 10 students took part in shot put.

**Solution 3:**

1. Total expense = Rs. 540

Cost of the bag = 30% of the total expense

Thus, the cost of the bag is Rs. 162.

2. Total expense = Rs. 540

Cost of the water-bag = 10% of the total expense

Thus, the cost of the water-bag is Rs. 54.

3. Degree measure for sketch-pen = 5% of the total degree measure

Thus, the degree measure of sketch-pen is 18°.

4. Amount spent on notebooks = 40% of the total expense

Thus, the maximum amount i.e. Rs. 216 was spent on Notebooks.

**Practice – 1**

**Solution 1:**

1. Total fund collected

= Contribution from (Dev + Maitri + Anuj + Riya + Jafar)

= Rs. (12 + 30 + 36 + 24 + 18)

= Rs. 120

2. Contribution by Jafar = Rs. 18

Thus, percentage of contribution by Jafar

3. Contribution by Anuj = Rs. 36

The degree measure of the contribution by Anuj

When the angle in the figure corresponding to the contribution by Anuj is measured, its measure is 108°.

4. Dev contributed the least fund i.e. Rs. 12.

**Solution 2:**

1. Percentage of Wheat = 35%

Percentage of Cotton = 15%

Thus, Percentage of Wheat – Percentage of Cotton

= 35% – 15%

= 20%

Hence, the purchase of Wheat is 20% more than the purchase of Cotton.

2. Purchase of Sesame = 10% of the total purchase of 3600 kg

= 10% of 3600 kg

Thus, 360 kg of Sesame were bought.

3. Degree measure of Cotton = 15% of 360°

When the angle in the figure corresponding to Cotton is measured, its measure is 54°.

4. Purchase of Castor-seeds = 25% of the total purchase

= 25% of 3600 kilograms

**Solution 3:**

1. The maximum runs were scored in the fifth over i.e. 18 runs.

2. In the second over, not a single run was scored.

3. Runs scored in the third over = 12

Total runs scored = 50

Hence, 24% of the total runs were scored in the third over.

4. 28 percentage of the total runs = 28% of 50

From the graph, 28 percentage of the total runs i.e. 14 runs were scored in the fourth over.