The average expenditure of Raman for 5 days is Rs. 130. If his expenditure for the first 4 days is Rs. 100, Rs. 125, Rs. 85 and Rs. 160 respectively, what is his expenditure (in Rs.) of the 5th day?

Options

A. 165
B. 180
C. 185
D. 195

Answer

To find Raman's expenditure on the 5th day, we can follow these steps:

### Step 1: Calculate the total expenditure for 5 days.
The average expenditure for 5 days is given as Rs. 130. To find the total expenditure, we can use the formula for average:

\[ \text{Average} = \frac{\text{Total Expenditure}}{\text{Number of Days}} \]

Rearranging this formula gives us:

\[ \text{Total Expenditure} = \text{Average} \times \text{Number of Days} \]

Substituting the values:

\[ \text{Total Expenditure} = 130 \times 5 = 650 \text{ Rs.} \]

### Step 2: Calculate the total expenditure for the first 4 days.
The expenditures for the first 4 days are given as Rs. 100, Rs. 125, Rs. 85, and Rs. 160. We can find the total expenditure for these 4 days by adding them:

\[ \text{Total for 4 days} = 100 + 125 + 85 + 160 \]

Calculating this gives:

\[ \text{Total for 4 days} = 100 + 125 = 225 \]
\[ 225 + 85 = 310 \]
\[ 310 + 160 = 470 \text{ Rs.} \]

### Step 3: Calculate the expenditure for the 5th day.
Now that we have the total expenditure for 5 days and the total for the first 4 days, we can find the expenditure for the 5th day by subtracting the total for the first 4 days from the total for 5 days:

\[ \text{Expenditure for 5th day} = \text{Total Expenditure for 5 days} - \text{Total for 4 days} \]

Substituting the values:

\[ \text{Expenditure for 5th day} = 650 - 470 = 180 \text{ Rs.} \]

### Final Answer:
Raman's expenditure on the 5th day is Rs. 180.

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