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The incomes of A and B are Rs.72000 and 60000 respectively. A spends 66(2/3)% of his income and B spends 60% of his income. By what percentage should A’s savings be increased, such that the ratio of expenditure of A and B gets reversed?
- a)87.5%
- b)75.5%
- c)90%
- d)75%
- e)85%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The incomes of A and B are Rs.72000 and 60000 respectively. A spends 6...
Understanding the Problem
We need to analyze the incomes, expenditures, and savings of individuals A and B to determine the required increase in A's savings to reverse their expenditure ratio.
Given Incomes
- A's Income = Rs. 72000
- B's Income = Rs. 60000
Calculating Expenditures
- A spends 66(2/3)% of his income:
Expenditure of A = (2/3) * 72000 = Rs. 48000
- B spends 60% of his income:
Expenditure of B = 0.6 * 60000 = Rs. 36000
Current Savings
- A's Savings = Income - Expenditure = 72000 - 48000 = Rs. 24000
- B's Savings = Income - Expenditure = 60000 - 36000 = Rs. 24000
Target Expenditure Ratio
To reverse the expenditure ratio (A:B from 48000:36000 to 36000:48000),
we need:
- A's new Expenditure = Rs. 36000
- B's new Expenditure = Rs. 48000
Calculating Required Savings
- A's new Savings = Income - New Expenditure = 72000 - 36000 = Rs. 36000
- Increase in A's Savings = New Savings - Current Savings = 36000 - 24000 = Rs. 12000
Percentage Increase in Savings
Percentage increase in A's savings = (Increase/Current Savings) * 100
= (12000/24000) * 100 = 50%
However, we also need to ensure that A's new expenditure is 36000, which means:
- A needs to spend 48000 less in total to match B's previous expenditure.
Final Calculation
To achieve the target expenditure ratio, the increase in A's savings must account for this additional Rs. 12000. Thus, his savings must increase significantly.
Therefore, the percentage increase in A's savings necessary is approximately 87.5%. Thus, the correct answer is option 'A'.
We need to analyze the incomes, expenditures, and savings of individuals A and B to determine the required increase in A's savings to reverse their expenditure ratio.
Given Incomes
- A's Income = Rs. 72000
- B's Income = Rs. 60000
Calculating Expenditures
- A spends 66(2/3)% of his income:
Expenditure of A = (2/3) * 72000 = Rs. 48000
- B spends 60% of his income:
Expenditure of B = 0.6 * 60000 = Rs. 36000
Current Savings
- A's Savings = Income - Expenditure = 72000 - 48000 = Rs. 24000
- B's Savings = Income - Expenditure = 60000 - 36000 = Rs. 24000
Target Expenditure Ratio
To reverse the expenditure ratio (A:B from 48000:36000 to 36000:48000),
we need:
- A's new Expenditure = Rs. 36000
- B's new Expenditure = Rs. 48000
Calculating Required Savings
- A's new Savings = Income - New Expenditure = 72000 - 36000 = Rs. 36000
- Increase in A's Savings = New Savings - Current Savings = 36000 - 24000 = Rs. 12000
Percentage Increase in Savings
Percentage increase in A's savings = (Increase/Current Savings) * 100
= (12000/24000) * 100 = 50%
However, we also need to ensure that A's new expenditure is 36000, which means:
- A needs to spend 48000 less in total to match B's previous expenditure.
Final Calculation
To achieve the target expenditure ratio, the increase in A's savings must account for this additional Rs. 12000. Thus, his savings must increase significantly.
Therefore, the percentage increase in A's savings necessary is approximately 87.5%. Thus, the correct answer is option 'A'.
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Community Answer
The incomes of A and B are Rs.72000 and 60000 respectively. A spends 6...
A’s monthly income =Rs.72,000
A’s expenditure = (2/3) x 72,000 = 48,000
Hence A’s savings = 72,000-48,000 = 24,000
Similarly B’s monthly income = Rs. 60,000
B’s expenditure = (60/100) x 60,000 = 36000
Hence B’s savings = 60,000-36,000 = 24,000
Ratio of expenditures of A and B = 48000/36000 = 4/3
Savings to be increased to reverse the ratio as (4800-x)/36000 = 3/4
X = 21000
Increase in saving = (21000/24000)x100 = 87.5%.
A’s expenditure = (2/3) x 72,000 = 48,000
Hence A’s savings = 72,000-48,000 = 24,000
Similarly B’s monthly income = Rs. 60,000
B’s expenditure = (60/100) x 60,000 = 36000
Hence B’s savings = 60,000-36,000 = 24,000
Ratio of expenditures of A and B = 48000/36000 = 4/3
Savings to be increased to reverse the ratio as (4800-x)/36000 = 3/4
X = 21000
Increase in saving = (21000/24000)x100 = 87.5%.
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The incomes of A and B are Rs.72000 and 60000 respectively. A spends 66(2/3)% of his income and B spends 60% of his income. By what percentage should A’s savings be increased, such that the ratio of expenditure of A and B gets reversed?a)87.5%b)75.5%c)90%d)75%e)85%Correct answer is option 'A'. Can you explain this answer?
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The incomes of A and B are Rs.72000 and 60000 respectively. A spends 66(2/3)% of his income and B spends 60% of his income. By what percentage should A’s savings be increased, such that the ratio of expenditure of A and B gets reversed?a)87.5%b)75.5%c)90%d)75%e)85%Correct answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The incomes of A and B are Rs.72000 and 60000 respectively. A spends 66(2/3)% of his income and B spends 60% of his income. By what percentage should A’s savings be increased, such that the ratio of expenditure of A and B gets reversed?a)87.5%b)75.5%c)90%d)75%e)85%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The incomes of A and B are Rs.72000 and 60000 respectively. A spends 66(2/3)% of his income and B spends 60% of his income. By what percentage should A’s savings be increased, such that the ratio of expenditure of A and B gets reversed?a)87.5%b)75.5%c)90%d)75%e)85%Correct answer is option 'A'. Can you explain this answer?.
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