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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
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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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%
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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%.
