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Question
An agent is paid a commission of 4% on cash sales and 6% on credit sales made by him. If on the sale of ₹ 51,000 the agent claims a total commission of ₹ 2,700, find the sales made by him for cash and on credit.
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Solution
Let x be the cash sales made by the agent.
∴ Commission on cash sales = 4% of cash sales
`= 4/100 xx x = "4x"/100`
Now, Credit sales = Total sales - Cash sales
∴ Credit sales = 51,000 – x
Commission on credit sales
= 6% of credit sales
`= 6/100 xx (51,000 - x)`
Total commission = Commission on cash sales + Commission on credit sales
∴ `2700 = (4x)/100 + 6/100 (51000 - x)`
∴ `2700 = (4x + 306000 - 6x)/100`
∴ 270000 = - 2x + 306000
∴ 2x = 306000 - 270000
∴ 2x = 36000
∴ x = ₹ 18000
∴ Cash sales is ₹ 18,000.
∴ Credit sales = 51,000 – 18,000 = ₹ 33,000
∴ Sales made by agent for cash is ₹ 18,000 and on credit is ₹ 33,000.
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