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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Ananya gets salary of ₹ 15,000 per month and commission at 8% on the sales over ₹ 50,000. If she gets ₹ 17,400 in a certain month, Find the sales made by her in that month - Mathematics and Statistics

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प्रश्न

Ananya gets salary of ₹ 15,000 per month and commission at 8% on the sales over ₹ 50,000. If she gets ₹ 17,400 in a certain month, Find the sales made by her in that month

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उत्तर

Ananya gets a salary of ₹ 15,000 per month and 8% on the sales over ₹ 50,000.

Let the total sales be ₹ ‘x’.

∴ Commission earned = `(x - 50,000) x 8/100`

She has earned ₹ 17,400 n certain month.

∴ Total income = Salary per month + Commission on sale

17,400 = `15,000 + (x - 50,000) xx 8/100`

17,400 = `15,000 + (8x - 4,00,000)/100`

17,400 = `(15,00,000 + 8x - 4,00,000)/100`

17,400 × 100 = 15,00,000 + 8x – 4,00,000

17,40,000 = 11,00,000 + 8x

8x = 17,40,000 – 11,00,000

8x = 6,40,000

∴ x = 80,000

∴ Ananya made sales of ₹  80,000 in that month.

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Commission and Brokerage Agent
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.1: Commission, Brokerage and Discount - Q.4

संबंधित प्रश्‍न

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Mr. Pavan is paid a fixed weekly salary plus commission based on a percentage of sales made by him. If on the sale of ₹ 68,000 and ₹ 73,000 in two successive weeks, he received in all ₹ 9,880 and ₹ 10,180, find his weekly salary and the rate of commission paid to him.


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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

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∴ the rate of commission = `square/5000 xx 100` = 6%

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From (1) and (3), we get Salary = ₹(9880 - 4080) = `square`

Hence, fixed weekly salary is ₹5800 and the rate of commission is 6%.


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