The average rainfall for a week excluding Sunday was 0.5 cm. Due to heavy rainfall on Sunday, the average for the week rose to 1.5 cm. The rainfall on Sunday was,

Options

A. 6.5 cm
B. 7.5 cm
C. 8.5 cm
D. 8.0 cm

Explanation

To find the rainfall on Sunday, we can follow these steps:

### Step 1: Calculate the total rainfall for the week excluding Sunday
Given that the average rainfall for the week excluding Sunday is 0.5 cm for 6 days (Monday to Saturday), we can calculate the total rainfall for these 6 days.

\[ \text{Total Rainfall (Monday to Saturday)} = \text{Average} \times \text{Number of Days} = 0.5 \, \text{cm} \times 6 = 3 \, \text{cm} \]

### Step 2: Calculate the total rainfall for the entire week
The average rainfall for the entire week (including Sunday) is given as 1.5 cm for 7 days. We can calculate the total rainfall for the entire week.

\[ \text{Total Rainfall (for the week)} = \text{Average} \times \text{Number of Days} = 1.5 \, \text{cm} \times 7 = 10.5 \, \text{cm} \]

### Step 3: Calculate the rainfall on Sunday
Now, we can find the rainfall on Sunday by subtracting the total rainfall from Monday to Saturday from the total rainfall for the week.

\[ \text{Rainfall on Sunday} = \text{Total Rainfall (for the week)} - \text{Total Rainfall (Monday to Saturday)} \]
\[ \text{Rainfall on Sunday} = 10.5 \, \text{cm} - 3 \, \text{cm} = 7.5 \, \text{cm} \]

### Final Answer
The rainfall on Sunday was **7.5 cm**.

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