Question

Thahir spends 32% of his total income to maintain his family, 23% on his personal expenses and 70% of the remaining on children's education and saves the remaining. What percent of his income is his savings?

• A. 13.8
• B. 13.7
• C. 13.6
• D. 13.5

Answer 1

The Correct Option is D

Calculating Thahir’s Savings as a Percentage of His Income:

Step 1: Define the Total Income

Let Thahir’s total income be \( I \). 

Step 2: Calculate Expenses

• Family maintenance expenses: \[ 32\% \times I = 0.32I \]
• Personal expenses: \[ 23\% \times I = 0.23I \]

Step 3: Calculate the Remaining Amount

After deducting family and personal expenses, the remaining income is:

\[ I - (0.32I + 0.23I) = I - 0.55I = 0.45I \]

Step 4: Calculate Education Expenses

He spends 70% of the remaining amount on children’s education:

\[ 70\% \times 0.45I = 0.315I \]

Step 5: Calculate Savings

The remaining amount, which is his savings, is:

\[ 0.45I - 0.315I = 0.135I \]

Final Answer:

Thus, the savings are 13.5% of his income. The correct answer is (D) 13.5.