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Question
A salesman gets a commission of 6.5% on the total sales made by him and bonus of 1% on sales ₹ 50,000. Find his total income on a turnover of ₹ 75,000.
Solution
Salesman gets commission of 6.5% on total sales and 1% on sales over ₹ 50,000.
Salesman has made sales of ₹ 75,000.
Normal commission earned = 6.5% on total sales
`= 6.5/100 xx 75,000`
= 4,875
Bonus = 1% on sales over 50,000
= 1% (75,000 – 50,000)
`= 1/100 xx 25,000`
= 250
Total income earned = 4,875 + 250 = ₹ 5,125
∴ Total income of the salesman is ₹ 5,125.
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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%.
