Pihu’s monthly income is Rs 39500. She pends `9/20`th of her monthly income on household expenditures and 24% of the monthly income on her children’s school fees. If 40% of the remaining monthly income she donates to NGO, what is the amount left with her in a month ? (If there is no other expenditure) ?

Options

A. Rs 7167
B. Rs 7594
C. Rs 7862
D. Rs 7347

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate Pihu's household expenditure
Pihu's monthly income is Rs 39,500. She spends \( \frac{9}{20} \) of her monthly income on household expenditures.

\[ \text{Household Expenditure} = \frac{9}{20} \times 39500 \]

Calculating this:

\[ \text{Household Expenditure} = \frac{9 \times 39500}{20} = \frac{355500}{20} = 17775 \]

### Step 2: Calculate Pihu's children's school fees
Pihu spends 24% of her monthly income on her children’s school fees.

\[ \text{School Fees} = 24\% \times 39500 = \frac{24}{100} \times 39500 \]

Calculating this:

\[ \text{School Fees} = 0.24 \times 39500 = 9480 \]

### Step 3: Calculate the remaining income after expenditures
Now, we need to find out how much money Pihu has left after her household expenditure and school fees.

\[ \text{Remaining Income} = \text{Monthly Income} - \text{Household Expenditure} - \text{School Fees} \]

Calculating this:

\[ \text{Remaining Income} = 39500 - 17775 - 9480 \]
\[ \text{Remaining Income} = 39500 - 27255 = 12245 \]

### Step 4: Calculate the amount donated to NGO
Pihu donates 40% of her remaining income to an NGO.

\[ \text{Donation to NGO} = 40\% \times 12245 = \frac{40}{100} \times 12245 \]

Calculating this:

\[ \text{Donation to NGO} = 0.40 \times 12245 = 4898 \]

### Step 5: Calculate the final amount left with Pihu
Now, we need to find out how much money Pihu has left after the donation.

\[ \text{Amount Left} = \text{Remaining Income} - \text{Donation to NGO} \]

Calculating this:

\[ \text{Amount Left} = 12245 - 4898 = 7347 \]

Thus, the amount left with Pihu in a month is **Rs. 7347**.

---