Gayatri’s income is Rs. 1,60,000 per year. She pays 15% of this as house rent and 10% of the remainder on her child’s education. The money left with her is

Options

A. Rs. 136000
B. Rs. 120000
C. Rs. 122400
D. Rs. 14000

Answer

To solve the problem step by step, we will calculate Gayatri's expenses and the money left with her after paying for house rent and her child's education.

### Step 1: Calculate Gayatri's House Rent
Gayatri's annual income is Rs. 1,60,000. She pays 15% of this amount as house rent.

**Calculation:**
\[ \text{House Rent} = 15\% \text{ of } 1,60,000 = \frac{15}{100} \times 1,60,000 \]
\[ = 0.15 \times 1,60,000 = 24,000 \]

### Step 2: Calculate the Remaining Income After House Rent
Now, we will subtract the house rent from her total income to find out how much money she has left.

**Calculation:**
\[ \text{Remaining Income} = \text{Total Income} - \text{House Rent} \]
\[ = 1,60,000 - 24,000 = 1,36,000 \]

### Step 3: Calculate the Cost of Child's Education
Gayatri pays 10% of the remaining income on her child's education.

**Calculation:**
\[ \text{Child's Education Cost} = 10\% \text{ of } 1,36,000 = \frac{10}{100} \times 1,36,000 \]
\[ = 0.10 \times 1,36,000 = 13,600 \]

### Step 4: Calculate the Money Left After Education Expenses
Finally, we will subtract the cost of the child's education from the remaining income after paying the house rent.

**Calculation:**
\[ \text{Money Left} = \text{Remaining Income} - \text{Child's Education Cost} \]
\[ = 1,36,000 - 13,600 = 1,22,400 \]

### Final Answer
The money left with Gayatri after paying for house rent and her child's education is Rs. 1,22,400.

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