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प्रश्न
An agent is paid a commission of 7% on cash sales and 5% on credit sales made by him. If on the sale ₹ 1,02,000 the agent claims a total commission of ₹ 6,420, find his cash sales and credit sales.
उत्तर
Let the cash sales made by agent be x
Total sales of agent is ₹ 1,02,000
∴ Credit sales = 1,02,000 – x
Rate of commission on cash sales = 7%
Rate of commission on credit sales = 5%
∴ Total commission earned = Commission on cash sales + Commission on credit sales
∴ 6420 = `x xx 7/100 + (102000 - x) xx 5/100`
∴ `6420 = (7x)/100 + (510000 - 5x)/100`
∴ `6420 = (7x + 510000 - 5x)/100`
∴ `6420 xx 100` = 2x + 510000
∴ 642000 = 2x + 510000
∴ 2x = 642000 - 510000
∴ 2x = 132000
∴ x = 66000
∴ Cash sales = ₹ 66000
Credit sales = 102000 - x
= 102000 - 66000
= ₹ 36000
∴ Cash sales made by agent is ₹ 66,000 and credit sales is ₹ 36,000.
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Choose the correct alternative:
A salesman receives 3% commission on the sales up to ₹ 50,000 and 4% commission on the sales over ₹ 50,000. His total income on the sale of ₹ 2,00,000 is ______.
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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`
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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%.
