Question:

A salesman's terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs. 1,000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per the new scheme was Rs. 600 more than by the first scheme, what were his sales worth?

Show Hint

For commission problems, set up the equations for both commission structures and compare earnings.
Updated On: Mar 7, 2025
  • Rs. 11,000
  • Rs. 17,000
  • Rs. 16,000
  • Rs. 12,000
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

Let total sales be \( x \).
Under the first scheme: \[ \text{Commission} = 5% \times x = 0.05x \] Under the new scheme: - Fixed salary = Rs. 1,000 - Commission on \( x - 4,000 \) = \( 2.5% \) \[ 1,000 + 0.025(x - 4,000) \] The difference between the two earnings is Rs. 600: \[ 1,000 + 0.025(x - 4,000) = 0.05x + 600 \] \[ 1,000 + 0.025x - 100 = 0.05x + 600 \] \[ 900 + 0.025x = 0.05x + 600 \] \[ 900 - 600 = 0.05x - 0.025x \] \[ 300 = 0.025x \] \[ x = \frac{300}{0.025} = 12,000 \] Thus, the total sales were Rs. 12,000.
Was this answer helpful?
0
0

Questions Asked in MAT exam

View More Questions