Net profit of a firm is rs79,800. Manager is entitled to a commission of 5% of profits after charging his commission. Manager’s Commission will be :
Explanation:
- The problem requires calculating the manager's commission from net profit.
- The commission is set at 5% of the profit after the commission is deducted.
Let profit before duducting commision be X
X - X * R/(100+ R).= 79,800
X - X* 5/105 = 79800
100X/105 = 79800
X = 79800 * 105/100
X = 83,790
Manager commission = 83,790 - 79,800 = 3,990
- Solving: \( x = 0.05 \times (79,800 - x) \).
- This simplifies to \( x = 3,990 \).
- Option 3 is \( 3,990 \), which is the manager's commission.
The correct answer is:
\[ \textcolor{green}{\text{ Option 3: 3,990}} \]
.
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