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Question
A shop is sold at 30% profit, the amount of brokerage at the rate of `3/4`% amounts to
₹ 73,125. Find cost of the shop
Solution
It is given that,
Brokerage is ₹ 73,125 and brokerage rate is `3/4`%
Let selling price be x.
Brokerage = Selling price of shop × Brokerage rate
∴ `73,125 = "x" xx 3/4`%
∴ `73,125 = "x" xx 0.75/100` %
∴ x = `(73,125 xx 100)/0.75`
∴ x = 97,50,000
∴ Selling price for the shop is 97,50,000.
It is mentioned that shop is sold at 30% profit.
If purchase price is ₹ 100, then selling price is ₹ 130.
For selling price ₹ 97,50,000, cost price will be 100 → 130
? → 97,50,000
∴ Cost price = `(97,50,000 xx 100)/130` = 75,00,000
∴ Cost of the shop is ₹ 75,00,000.
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Solution: Total selling Price of three cars = 2,40,000 + 2,22,000 + 2,25,000
= `square`
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= `14/100 xx square`
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= `17.5/100 xx 2,40,000 = square`
∴ Commission on first car = ₹ `square`
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Rate of commission = 12.5%
= `12.5/100 xx 2,22,000 = square`
∴ Commission on second car = ₹ `square`
Selling price of third car = ₹ 2,25,000
Let the rate of commission be x
Commission on third car = `x/100 xx 2,25,000`
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An agent places insurance for ₹ 4,00,000 on life of a person. The premium is to be paid annually at the rate of ₹ 35 per thousand per annum. Find the agent’s commission at 15% on the premium.
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%.
