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प्रश्न
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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उत्तर
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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The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. The True discount is ______
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An agent was paid ₹ 88,000 as a commission on the sales of computers at the rate of 12.5%. If the price of each computer was ₹ 32,000, how many computers did he sell?
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%
Commission on ₹68,000 at 6% = ₹`68000 xx6/100 = square`
From (1) and (3), we get Salary = ₹(9880 - 4080) = `square`
Hence, fixed weekly salary is ₹5800 and the rate of commission is 6%.
