Arun buys five pens for Rs `5.20` each. He also buys some notebooks for `"Rs 56.25"`, the price of each notebook being `"Rs"` `11.25.` Find the number of notebooks. Arun has bought. If he is left with `"Rs 90"`, find how much money he had in the beginning.

Options

A. `Rs 173.25`
B. `Rs 163.25`
C. `Rs 172.25`
D. `Rs 182.25`

Answer

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

### Step 1: Calculate the cost of five pens.
- Cost of one pen = Rs 5.20
- Number of pens = 5
- Total cost of five pens = Cost of one pen × Number of pens
\[ \text{Total cost of five pens} = 5.20 \times 5 \]
\[ = 26.00 \text{ Rs} \]

### Step 2: Calculate the total cost of notebooks.
- Total cost of notebooks = Rs 56.25
- Cost of one notebook = Rs 11.25
- To find the number of notebooks, we will divide the total cost of notebooks by the cost of one notebook.
\[ \text{Number of notebooks} = \frac{\text{Total cost of notebooks}}{\text{Cost of one notebook}} = \frac{56.25}{11.25} \]
\[ = 5 \text{ notebooks} \]

### Step 3: Calculate the total amount spent.
- Total amount spent = Cost of five pens + Total cost of notebooks
\[ \text{Total amount spent} = 26.00 + 56.25 \]
\[ = 82.25 \text{ Rs} \]

### Step 4: Calculate the total amount Arun had initially.
- Money left = Rs 90
- Total amount = Money left + Total amount spent
\[ \text{Total amount} = 90 + 82.25 \]
\[ = 172.25 \text{ Rs} \]

### Final Answer:
Arun had Rs 172.25 in the beginning, and he bought 5 notebooks.

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