Question

If both Balu and Paul get equal income, what would be the difference of their expenditures on all except Investments?

• A. Rs. 1 of income
• B. Rs. 0.50 of income
• C. Rs. 0.01 of income
• D. Rs. 0.05 of income
• A. Rs. 2540
• B. Rs. 2125
• C. Rs. 2490
• D. Rs. 2700
• A. Rs. 5450
• B. Rs. 4200
• C. Rs. 4560
• D. Rs. 5700
• A. \( 207.2^{\circ} \)
• B. \( 165.8^{\circ} \)
• C. \( 157.5^{\circ} \)
• D. \( 187.2^{\circ} \)
• A. 1 : 1
• B. 1 : 2
• C. 3 : 1
• D. 16 : 11

Answer 1

The Correct Option is C

Step 1: Set up equal income.
Let the income of both Balu and Paul be Rs. X, since both earn the same amount.
Each person spends 100% of income across the six heads shown in the chart.

Step 2: Find the share spent on all heads except Investments.
Balu's Investments share is 24%, so Balu spends (100 minus 24) equals 76% of X on the rest.
Paul's Investments share is 23%, so Paul spends (100 minus 23) equals 77% of X on the rest.

Step 3: Compute the difference between the two remainders.
Subtract Balu's remainder from Paul's remainder: 77% of X minus 76% of X.
This equals 1% of X, which is written as 0.01 times X.

Final Answer:
The difference in their expenditure on all heads except Investments is 0.01 of income. \[ \boxed{0.01X} \]

Answer 2

Step 1: Read Paul's percentages from the outer ring.
Investments is 23%, Rent is 22%, and Travel is 15% of Paul's income.

Step 2: Average the three percentages.
Add them: 23 plus 22 plus 15 equals 60.
Divide by 3 to get the average percentage: 60 divided by 3 equals 20%.

Step 3: Apply the average percentage to the income.
20% of Rs. 13,500 equals 0.20 times 13500, which is 2700.

Final Answer:
Paul's average expenditure on Investments, Rent and Travelling is Rs. 2700. \[ \boxed{Rs.\ 2700} \]

Answer 3

Step 1: Read Balu's percentages from the inner ring.
Investments is 24% and Food is 14% of Balu's salary.

Step 2: Add the two percentages.
24 plus 14 equals 38%.

Step 3: Apply the combined percentage to the salary.
38% of Rs. 15,000 equals 0.38 times 15000, which is 5700.

Final Answer:
Balu's expenditure on Investments and Food together is Rs. 5700. \[ \boxed{Rs.\ 5700} \]

Answer 4

Step 1: Read Paul's percentages from the outer ring.
Travel is 15%, Rent is 22%, and Medical is 15% of Paul's income.

Step 2: Add the three percentages.
15 plus 22 plus 15 equals 52%.

Step 3: Convert the combined percentage to degrees.
A full circle of 100% equals 360 degrees, so 1% equals 3.6 degrees.
52% times 3.6 degrees equals 187.2 degrees.

Final Answer:
The sum of angles for Travel, Rent and Medical of Paul is 187.2 degrees. \[ \boxed{187.2^{\circ}} \]

Answer 5

Step 1: Note that equal income lets percentages be added directly.
Let both incomes be Rs. X, so each person's percentage figures are shares of the same base amount.

Step 2: Add the Food percentages of both people.
Paul's Food share is 18% and Balu's Food share is 14%, giving 18 plus 14 equals 32% of X.

Step 3: Add the Clothing percentages of both people.
Paul's Clothing share is 7% and Balu's Clothing share is 15%, giving 7 plus 15 equals 22% of X.

Step 4: Form and simplify the ratio.
The ratio of combined Food to combined Clothing is 32 to 22.
Dividing both terms by their common factor 2 gives 16 to 11.

Final Answer:
The ratio of their expenditures on Food and Clothing is 16 : 11. \[ \boxed{16:11} \]