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Question
An agent was paid ₹ 88,000 as a commission on the sales of computers at the rate of 12.5%. If the price of each computer was ₹ 32,000, how many computers did he sell?
Solution
Agent's commission = 88,000
Rate of commission = 12.5%
∴ Commission = `"Rate"/100 xx "Total sales"`
88000 = `12.5/100 xx "Total sales"`
Total sales = `(88000 xx 100)/12.5` = 704000
Number of computer sold = `704000/32000` = 22
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= `square`
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= `14/100 xx square`
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= `17.5/100 xx 2,40,000 = square`
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= `12.5/100 xx 2,22,000 = square`
∴ Commission on second car = ₹ `square`
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Commission on third car = `x/100 xx 2,25,000`
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Mr. Pavan is paid a fixed weekly salary plus commission based on percentage of sales made by him. If on the sale of ₹68,000 and ₹73,000 in two successive weeks, he received in all ₹9880 and ₹10, 180. Complete the following activity to find his weekly salary and the rate of commission paid to him.
Solution: Income of Mr. Pavan = Weekly salary + Commission on sales
Salary + Commission on ₹68,000 = ₹9880 ... (1)
Salary+ Commission on ₹73,000 = ₹10,180 ... (2)
Subtracting (1) from (2), we get
Commission on ₹5000 = ₹ `square`
∴ the rate of commission = `square/5000 xx 100` = 6%
Commission on ₹68,000 at 6% = ₹`68000 xx6/100 = square`
From (1) and (3), we get Salary = ₹(9880 - 4080) = `square`
Hence, fixed weekly salary is ₹5800 and the rate of commission is 6%.
