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The average expenditure of Sarvesh for t...

The average expenditure of Sarvesh for the January to June is Rs. 4200 and the spents Rs. 1200 in January and Rs. 1500 in July. The average expenditure for the months of February to July is :

A

4250

B

4520

C

4060

D

none of these

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AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to find the average expenditure of Sarvesh from February to July based on the information provided. ### Step 1: Calculate the total expenditure from January to June The average expenditure from January to June is given as Rs. 4200. Since there are 6 months in this period, we can calculate the total expenditure for these months. **Calculation:** \[ \text{Total Expenditure (Jan to June)} = \text{Average Expenditure} \times \text{Number of Months} = 4200 \times 6 = 25200 \] ### Step 2: Subtract January's expenditure from the total We know that Sarvesh spent Rs. 1200 in January. To find the total expenditure from February to June, we need to subtract January's expenditure from the total expenditure calculated in Step 1. **Calculation:** \[ \text{Total Expenditure (Feb to June)} = \text{Total Expenditure (Jan to June)} - \text{Expenditure in January} = 25200 - 1200 = 24000 \] ### Step 3: Add July's expenditure Next, we need to include the expenditure for July, which is Rs. 1500, to find the total expenditure from February to July. **Calculation:** \[ \text{Total Expenditure (Feb to July)} = \text{Total Expenditure (Feb to June)} + \text{Expenditure in July} = 24000 + 1500 = 25500 \] ### Step 4: Calculate the average expenditure from February to July Now, we can find the average expenditure for the months of February to July. There are 6 months in total (February, March, April, May, June, and July). **Calculation:** \[ \text{Average Expenditure (Feb to July)} = \frac{\text{Total Expenditure (Feb to July)}}{\text{Number of Months}} = \frac{25500}{6} = 4250 \] ### Final Answer The average expenditure for the months of February to July is Rs. 4250. ---
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