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प्रश्न
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
उत्तर
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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संबंधित प्रश्न
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Mr. Pavan is paid a fixed weekly salary plus commission based on a percentage of sales made by him. If on the sale of ₹ 68,000 and ₹ 73,000 in two successive weeks, he received in all ₹ 9,880 and ₹ 10,180, find his weekly salary and the rate of commission paid to him.
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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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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
Commission on ₹5000 = ₹ `square`
∴ 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%.
