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Question
Anita is allowed 6.5% commission on the total sales made by her, plus a bonus of `1/2`% on the sale over ₹ 20,000. If her total commission amounts to ₹ 3,400, find the sales made by her.
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Solution
Let total sales made by Anita be ‘x’.
Rate of commission on total sales is 6.5%.
Commission earned = Total sales × Rate of commission
`= "x" xx 6.5/100 = (6.5 "x")/100`
Sales above ₹ 20,000 = (x – 20,000)
On sales above ₹ 20,000, she gets `1/2`% bonus.
∴ Commission earned = `("x" - 20000) xx 0.5/100`
`= (0.5"x" -10000)/100`
Total commission earned is ₹ 3,400.
Total commission = Commission on total sales + Bonus on sales
∴ `3400 = (6.5"x")/100 + (0.5"x" - 10000)/100`
∴ `3400 = (6.5"x" + 0.5"x" - 10000)/100`
∴ 340000 = 7x - 10000
∴ 340000 + 10000 = 7x
∴ 350000 = 7x
∴ x = 50000
∴ Total sales made by Anita is ₹ 50,000.
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