A hawker selling newspapers and magazines gets 7% commission on all sales up to Rs. 8,000. Additionally, for all sales above Rs. 8000, he gets 5% commission If the total sales amount after deducting his commission is Rs. 30,000, then what is the total sales made by him?
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So the hawker's total sales are X = 580,800.
As per the question given,
Let's assume the total sales made by the hawker be X.
The first commission he received is 7% of 8,000, which is 560.
For the sales above 8,000, he received a 5% commission, which would be 5% of (X - 8,000), which is 0.05(X - 8,000).
The total commission received by him would be 560 + 0.05(X - 8,000).
The total sales after deducting the commission would be X - 560 - 0.05(X - 8,000) = 30,000.
Expanding the equation:
X - 560 - 0.05X + 400 = 30,000
-0.05X + 960 = 30,000
-0.05X = 29,040
Dividing both sides by -0.05:
X = 580,800
So, the total sales made by the hawker is X = 580,800.
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