An agent gets 5% commission on all sales up to rs 10000 and 4% commiss...
Solution:
Let's assume the total sales made by the agent to be 'x' rupees.
Commission Calculation:
According to the given information, the agent receives a 5% commission on all sales up to Rs 10,000 and a 4% commission on all sales exceeding this amount.
Therefore, the commission received by the agent on the sales up to Rs 10,000 would be 5% of Rs 10,000, which is (5/100) * Rs 10,000 = Rs 500.
The remaining sales exceeding Rs 10,000 would be (x - 10,000) rupees. The commission received on this amount would be 4% of (x - 10,000), which is (4/100) * (x - 10,000) = 0.04x - 400.
Total Commission:
The total commission received by the agent would be the sum of the commission received on sales up to Rs 10,000 and the commission received on sales exceeding Rs 10,000. So, the total commission can be represented as:
Total Commission = Rs 500 + (0.04x - 400)
Amount after Deducting Commission:
The agent gives Rs 31,100 to his company after deducting his commission. Therefore, the equation can be formed as:
x - (Rs 500 + (0.04x - 400)) = Rs 31,100
Simplifying the equation, we get:
0.96x - Rs 900 = Rs 31,100
0.96x = Rs 32,000
x = Rs 32,000 / 0.96
x ≈ Rs 33,333.33
Therefore, the total sales made by the agent would be approximately Rs 33,333.33.