Question

In a year, a man spends on an average rupees \(3500\) per month between January to July and he spends rupees \(3800\) per month between August to December. If he saves rupees \(9000\) in that whole year, his monthly salary is:

• A. \(\rupee 4200\)
• B. \(\rupee 4250\)
• C. \(\rupee 4325\)
• D. \(\rupee 4375\)

Hint:

Yearly income \(=\) yearly expenditure \(+\) yearly saving. Then divide by \(12\) to get monthly salary.

Answer 1

The Correct Option is D

From January to July, there are: \[ 7 \] months. Monthly expenditure during these months is: \[ 3500. \] So total expenditure from January to July is: \[ 7\times3500=24500. \] From August to December, there are: \[ 5 \] months. Monthly expenditure during these months is: \[ 3800. \] So total expenditure from August to December is: \[ 5\times3800=19000. \] Total yearly expenditure is: \[ 24500+19000=43500. \] His yearly saving is: \[ 9000. \] Therefore, total yearly income is: \[ 43500+9000=52500. \] Monthly salary is: \[ \frac{52500}{12}. \] \[ =4375. \] Therefore, his monthly salary is: \[ \rupee 4375. \]