To determine the new percentage of savings when the expenditure on food and entertainment increases by 10%, let's analyze Mr. Das's financial data:
Monthly Salary Calculation:
1. Base Salary = Rs. 9228
2. House Rent Allowance (HRA) = 10% of Base Salary = 0.10 × 9228 = Rs. 922.80
Total Monthly Income = Base Salary + HRA = 9228 + 922.80 = Rs. 10150.80
Expenditure Before Inflation:
Total Expenditure Before Inflation:
Total = Food + Entertainment + House Rent + Education + Medical = 2537.70 + 913.57 + 1827.14 + 2334.68 + 1319.60 = Rs. 8932.69
Total Savings Before Inflation = Rs. 10150.80 - Rs. 8932.69 = Rs. 1218.10
Expenditure After 10% Inflation in Food and Entertainment:
Total Expenditure After Inflation:
New Total = Food + Entertainment + House Rent + Education + Medical = 2791.47 + 1004.93 + 1827.14 + 2334.68 + 1319.60 = Rs. 9277.82
Total Savings After Inflation = Rs. 10150.80 - Rs. 9277.82 = Rs. 872.98
New Percentage of Savings:
Percentage = (Savings After Inflation / Total Monthly Income) × 100 = (872.98 / 10150.80) × 100 = 0.086 ≈ 8.6%
To solve this problem, we need to determine how much extra Mr. Das should save next year to ensure he accumulates Rs. 30,000/- at the end of two years, given a 12% annual interest on savings.
His goal is to save Rs. 30,000/- in 2 years. Let the amount he saves in the first year be denoted as \( P \).
At the end of the first year, the amount will grow due to interest:
\( \text{Amount after 1 year} = P + 0.12P = 1.12P \)
At the beginning of the second year, he saves an additional amount \( X \).
At the end of the second year, both the first year's savings with interest and the additional savings \( X \) will grow by 12% interest:
\( \text{Final amount} = 1.12P \times 1.12 + X \times 1.12 = 1.2544P + 1.12X \)
Since he needs Rs. 30,000/- at the end of 2 years, we set up the equation:
\( 1.2544P + 1.12X = 30,000 \)
To find \( P \), consider Mr. Das's monthly savings. He saves 12% of his monthly income.
Total monthly income = Salary + House Rent Allowance (10% of salary):
\( 9228 + 0.10 \times 9228 = 9228 + 922.8 = Rs. 10150.8 \)
Monthly savings = 12% of Rs. 10150.8 = \( 0.12 \times 10150.8 = Rs. 1218.10 \)
Yearly savings = \( 12 \times 1218.10 = Rs. 14617.20 \). This is \( P \).
Substitute \( P = 14617.20 \) into the main equation:
\( 1.2544 \times 14617.20 + 1.12X = 30,000 \)
Simplify the left side:
\( 18333.76 + 1.12X = 30,000 \)
Solve for \( X \):
\( 1.12X = 30,000 - 18333.76 = 11666.24 \)
\( X = 11666.24 / 1.12 \)
\( X \approx 10417.25 \)
Since Mr. Das already saves Rs. 14617.20 per year, he needs to save an additional amount \( A = 10417.25 - 14617.20 \) next year.
\( A \approx Rs. 1400 \)
Thus, Mr. Das should save an additional Rs. 1400/- in the next year.
To determine the correct statement regarding Mr. Das's home budget, we need to calculate the total amounts allocated to different expense categories based on the percentages given.
Now, let's compare the sums required in the options:
Comparing these two sums: 4872.38 is less than 5278.41. Therefore, the correct statement is:
The total amount spent on savings, medical expenses and education is less than the total amount spent on house-rent, food expenses and entertainment.