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Question
A salesman is paid fixed monthly salary plus commission on the sales. If on sale of ₹ 96,000 and ₹ 1,08,000 in two successive months he receives in all ₹ 17,600 and ₹ 18,800 respectively, find his monthly salary and rate of commission paid to him.
Solution
Salesman gets salary plus commission.
Income of salesman in the first month
= Salary + Commission on sales
17,600 = Salary + Commission on ₹ 96,000 …(i)
Income of salesman in the second month
= Salary + commission on ₹ 1,08,000
18,800 = Salary + commission on ₹ 1,08,000 …(ii)
Now, subtracting (i) from (ii) we get
18,800 = Salary + commission on ₹ 1,08,000
(-) 17,600 = Salary + commission on ₹ 96,000
(-) (-) (-)
1,200 = commission on 12,000
∴ Rate of commission = `(1,200 xx100)/(12,000)`
= 10 % p.a.
∴ Commission on sales of ₹ 96,000
`= 96,000 xx 10/100` = ₹ 9,600
Substituting commission 9,600 is equation (i), we get
17,600 = Salary + Commission on ₹ 96,000
∴ 17,600 = Salary + 9,600
∴ 17,600 – 9,600 = Salary
∴ Salary = ₹ 8,000
Monthly salary and rate of commission is ₹ 8,000 and 10% respectively.
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Three cars were sold through an agent for ₹ 2,40,000, ₹ 2,22,000 and ₹ 2,25,000 respectively. The rates of commission were 17.5% on the first, 12.5% on the second. If the agent overall received 14% commission on the total sales, find the rate of commission paid on the third car.
Solution: Total selling Price of three cars = 2,40,000 + 2,22,000 + 2,25,000
= `square`
Commision on total sale = 14%
= `14/100 xx square`
Selling price of First car = ₹ 2,40,000
Rate of commission = 17.5%
= `17.5/100 xx 2,40,000 = square`
∴ Commission on first car = ₹ `square`
Selling price of Second car = ₹ 2,22,000
Rate of commission = 12.5%
= `12.5/100 xx 2,22,000 = square`
∴ Commission on second car = ₹ `square`
Selling price of third car = ₹ 2,25,000
Let the rate of commission be x
Commission on third car = `x/100 xx 2,25,000`
∴ Commission on third car = Total commission − (commission on first car + commission on second car)
∴ `x/100 xx 2,25,000 = square - {square + square}`
∴ x = `square`
