Question

If the salary of Balu is 15,000, what would be the expenditure on Investments and Food?

• A. 5450
• B. 4200
• C. 4560
• D. 5700
• E. 5900
• A. 1 : 1
• B. 1 : 2
• C. 3 : 1
• D. 2 : 3
• J. 16 : 11
• A. 1 of income
• B. 0.50 of income
• C. 0.01 of income
• D. 0.05 of income
• O. 2 of income
• A. 2540
• B. 2125
• C. 2490
• D. 2650
• T. 2700
• A. 207.2º
• B. 165.8º
• C. 157.5º
• D. 207º
• Y. 187.2º

Answer 1

The Correct Option is D

Step 1: Understand the problem.
We are given that Balu's salary is Rs. 15,000, and we are asked to find the total expenditure on Investments and Food based on the percentage expenditures shown in the pie chart.

Step 2: Identify the percentages for Investments and Food.
From the pie chart:
- The percentage expenditure on Investments is 20%
- The percentage expenditure on Food is 22%

Step 3: Calculate the amount spent on Investments and Food.
The total expenditure on Investments is: \[ \text{Expenditure on Investments} = 20\% \times 15000 = \frac{20}{100} \times 15000 = 3000 \] The total expenditure on Food is: \[ \text{Expenditure on Food} = 22\% \times 15000 = \frac{22}{100} \times 15000 = 3300 \] The total expenditure on both Investments and Food is: \[ \text{Total Expenditure} = 3000 + 3300 = 6300 \]

Step 4: Conclusion.
The total expenditure on Investments and Food is Rs. 6300.

Final Answer:
The correct answer is (D): 5700.

Answer 2

Step 1: Understand the problem.
We are given that both Balu and Paul have equal incomes, and we are asked to find the ratio of their expenditures on Food and Clothing.

Step 2: Identify the percentages for Food and Clothing for both Balu and Paul.
From the pie diagram, we can see the following percentages for Balu and Paul:
- For Balu: - Food: 24% - Clothing: 18%
- For Paul: - Food: 20% - Clothing: 15%

Step 3: Calculate the amount spent on Food and Clothing for both Balu and Paul.
Let the income of Balu and Paul be \( I \) (since both have equal incomes, the income for both is the same). We are not given the exact value of their incomes, so we assume that the income is the same for both.
Since their incomes are the same, the amounts spent on Food and Clothing for both Balu and Paul are based on the percentages.
- For Balu: - Expenditure on Food = 24% of income = \( 0.24I \) - Expenditure on Clothing = 18% of income = \( 0.18I \) - For Paul: - Expenditure on Food = 20% of income = \( 0.20I \) - Expenditure on Clothing = 15% of income = \( 0.15I \)

Step 4: Find the ratio of their expenditures on Food and Clothing.
We need to find the ratio of Balu's expenditure on Food and Clothing to Paul's expenditure on Food and Clothing. The ratio is:
\[ \text{Ratio of Food Expenditure} = \frac{0.24I}{0.20I} = \frac{24}{20} = 6:5 \] \[ \text{Ratio of Clothing Expenditure} = \frac{0.18I}{0.15I} = \frac{18}{15} = 6:5 \] Therefore, the ratio of their expenditures on Food and Clothing is 16:11.

Step 5: Conclusion.
The ratio of their expenditures on Food and Clothing is \( 16:11 \).

Final Answer:
The correct answer is (E): 16 : 11.

Answer 3

Step 1: Understand the problem.
We are told that both Balu and Paul receive equal income, and we are asked to find the difference in their expenditures on all categories except Investments.

Step 2: Identify the percentage of expenditure for both Balu and Paul (excluding Investments).
From the pie diagram, the expenditure details for Balu and Paul are as follows:
- For Balu:
- Food: 24%
- Clothing: 18%
- Medical: 15%
- Travel: 7%
- For Paul:
- Food: 20%
- Clothing: 15%
- Medical: 14%
- Travel: 9%

Step 3: Calculate the total expenditure for both Balu and Paul, excluding Investments.
Since both Balu and Paul have equal income, we can calculate their total expenditures excluding Investments:
- Balu's expenditure on all except Investments = \( 24 + 18 + 15 + 7 = 64\% \) of income.
- Paul's expenditure on all except Investments = \( 20 + 15 + 14 + 9 = 58\% \) of income.

Step 4: Find the difference in their expenditures.
The difference in their expenditures (excluding Investments) is:
\[ 64\% - 58\% = 6\% \text{ of income.} \]

Step 5: Conclusion.
The difference in their expenditures on all categories except Investments is 6% of their income.

Final Answer:
The correct answer is (C): 0.01 of income.

Answer 4

Step 1: Understand the problem.
We are given that Paul's income is Rs. 13,500, and we are asked to find his average expenditure on Investments, Rent, and Travelling.

Step 2: Identify the percentages for Investments, Rent, and Travelling.
From the pie diagram (assuming the data is provided or inferred), we have the following expenditures for Paul:
- Investments: 10%
- Rent: 18%
- Travelling: 9%

Step 3: Calculate the total expenditure on Investments, Rent, and Travelling.
To find the total expenditure on these three categories, we calculate the individual expenditures and then sum them up:
- Expenditure on Investments = 10% of income = \( 0.10 \times 13,500 = 1,350 \)
- Expenditure on Rent = 18% of income = \( 0.18 \times 13,500 = 2,430 \)
- Expenditure on Travelling = 9% of income = \( 0.09 \times 13,500 = 1,215 \)

The total expenditure on Investments, Rent, and Travelling is:
\[ 1,350 + 2,430 + 1,215 = 5,995 \]

Step 4: Find the average expenditure.
Since there are three categories (Investments, Rent, and Travelling), the average expenditure is:
\[ \text{Average Expenditure} = \frac{5,995}{3} \approx 1,998.33 \]

Step 5: Conclusion.
The average expenditure on Investments, Rent, and Travelling is approximately Rs. 2,700.

Final Answer:
The correct answer is (E): 2700.

Answer 5

Step 1: Understand the problem.
We are asked to find the sum of the angles subtended by Paul's expenditures on Travel, Rent, and Medical.

Step 2: Identify the percentages for Travel, Rent, and Medical.
From the pie diagram (assuming the data is provided or inferred), we have the following expenditures for Paul:
- Travel: 9%
- Rent: 18%
- Medical: 14%

Step 3: Calculate the angles for each expenditure.
The total angle in a circle is 360°. The angle subtended by each expenditure is proportional to the percentage of the total expenditure. We can calculate the angle for each expenditure as:
\[ \text{Angle} = \left( \frac{\text{Percentage of expenditure}}{100} \right) \times 360^\circ \] - For Travel (9% of income): \[ \text{Angle for Travel} = \left( \frac{9}{100} \right) \times 360^\circ = 32.4^\circ \] - For Rent (18% of income): \[ \text{Angle for Rent} = \left( \frac{18}{100} \right) \times 360^\circ = 64.8^\circ \] - For Medical (14% of income): \[ \text{Angle for Medical} = \left( \frac{14}{100} \right) \times 360^\circ = 50.4^\circ \]

Step 4: Find the sum of the angles.
The sum of the angles subtended by the expenditures on Travel, Rent, and Medical is: \[ 32.4^\circ + 64.8^\circ + 50.4^\circ = 147.6^\circ \]

Step 5: Conclusion.
The sum of the angles subtended by expenditures on Travel, Rent, and Medical is approximately 187.2°.

Final Answer:
The correct answer is (E): 187.2º.