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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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Question

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

Sum

Solution

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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Chapter 2.1: Commission, Brokerage and Discount - Q.4

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SCERT Maharashtra Mathematics and Statistics (Commerce) [English] 12 Standard HSC
Chapter 2.1 Commission, Brokerage and Discount
Q.4 | Q 2

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