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A shop is sold at 30% profit, the amount of brokerage at the rate of 34% amounts to ₹ 73,125. Find cost of the shop - Mathematics and Statistics

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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

योग

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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Commission and Brokerage Agent
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Commission, Brokerage and Discount - Miscellaneous Exercise 1 [पृष्ठ १२]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Commission, Brokerage and Discount
Miscellaneous Exercise 1 | Q 4.02 | पृष्ठ १२

संबंधित प्रश्न

A salesman receives 3% commission on the sales up to ₹ 50,000 and 4% commission on the sales over ₹ 50,000. Find his total income on the sale of ₹ 2,00,000.


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.


The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. Find the percentage reduction in the value of the business.


An agent is paid a commission of 7% on cash sales and 5% on credit sales made by him. If on the sale ₹ 1,02,000 the agent claims a total commission of ₹ 6,420, find his cash sales and credit sales.


A retailer sold a suit for ₹ 8,832 after allowing 8% discount on marked price and further 4% cash discount. If he made 38% profit, find the cost price and the marked price of the suit.


An agent charges 10% commission plus 2% delcreder. If he sells goods worth ₹ 37,200, find his total earnings.


An agent who gives a guarantee to his principal that the party will pay the sale price of goods is called ______.


Choose the correct alternative.

An agent who is given the possession of goods to be sold is known as


The date on which the period of the bill expires is called


State whether the following statement is True or False.

The buyer is legally allowed 6 days grace period.


A merchant gives 5% commission and 1.5% del credere to his agent. If the agent sells goods worth ₹ 30,600 how much does he get? How much does the merchant receive?


After deducting commission at `7 1/2`% on first
₹ 50,000 and 5% on balance of sales made by him, an agent remits ₹ 93,750 to his principal. Find the value of goods sold by him.


Choose the correct alternative:

A salesman receives 3% commission on the sales up to ₹ 50,000 and 4% commission on the sales over ₹ 50,000. His total income on the sale of ₹ 2,00,000 is ______.


Choose the correct alternative:

The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. The True discount is ______


When transactions like sale, purchase, auction etc. are done through some middlemen, such middlemen are called ______


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.


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%.


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