A salesman's commission is 5% on all sales up to Tk. 10,000 and 4% of all sales exceeding this amount. He remits tk. 31,100 to the parent company after deducting his commission. His sales were worth:

Question: A salesman's commission is 5% on all sales up to Tk. 10,000 and 4% of all sales exceeding this amount. He remits tk. 31,100 to the parent company after deducting his commission. His sales were worth:

Solution:
Amount remitted from first 10,000 = 10,000 × (100% - 5%) = 9,500 Tk.
Remaining amount remitted from excess sales = 31,100 - 9,500 = 21,600 Tk.

For the excess part, the company receives (100% - 4%) = 96% of the sales.

Let excess sales be E.
According to the question,
0.96 × E = 21,600
⇒ E = 21,600/0.96
∴ E = 22,500 Tk.

Total Sales = 10,000 + 22,500 = 32,500 Tk.

∴ Total Sales were worth 32,500 Tk.