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Question
Priya gets a 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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Solution
Priya 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 - 50000)`xx 8/100`
She has earned ₹ 17,400 in a certain month.
∴ Total income = Salary per month + Commission on sale
17,400 = 15,000 + (x – 50,000) `xx 8/100`
17400 = 15000 + `(8 x - 400000)/100`
17400 = `(1500000 + 8 x - 400000)/100`
17400 × 100 = 1500000 + 8x - 400000
1740000 = 1100000 + 8x
8x = 1740000 - 1100000
8x = 640000
∴ x = 80000
∴ Priya made sales of ₹ 80000 in that month.
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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%.
