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Question
Deepak’s salary was increased from ₹ 4,000 to ₹ 5,000. The sales being the same, due to reduction in the rate of commission from 3% to 2%, his income remained unchanged. Find his sales.
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Solution
Let the sales made by Deepak be ‘x’.
Existing Salary received is ₹ 4,000
Rate of commission is 3%
∴ Initial income of Deepak = Salary + Commission on sales
= 4000 + 3% on x
= `4000 + (3x)/100` ...(i)
Salary was increased to ₹ 5,000 and rate of commission decreased to 2%. However, sales was still the same.
∴ New income of Deepak = Salary + Commission on sales
= 5000 + 2% on x
= `5000 + (2x)/100` ...(ii)
It is given that the income of Deepak remained unchanged.
∴ `4000 + (3x)/100 = 5000 + (2x)/100` .....[From (i) and (ii)]
∴ ` (3x)/100 - (2x)/100 = 5000 - 4000`
∴ `x/100 = 1000`
∴ x = 1,00,000
∴ Sales made by Deepak is ₹ 1,00,000.
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Solution: Income of Mr. Pavan = Weekly salary + Commission on sales
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Salary+ Commission on ₹73,000 = ₹10,180 ... (2)
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Hence, fixed weekly salary is ₹5800 and the rate of commission is 6%.
