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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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.

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प्रश्न

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.

बेरीज
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उत्तर

Let the cash sales made by agent be x

Total sales of agent is ₹ 1,02,000

∴ Credit sales = 1,02,000 – x

Rate of commission on cash sales = 7%

Rate of commission on credit sales = 5%

∴ Total commission earned = Commission on cash sales + Commission on credit sales

∴ 6420 = `x xx 7/100 + (102000 - x) xx 5/100`

∴ `6420 = (7x)/100 + (510000 - 5x)/100`

∴ `6420 = (7x  +  510000  -  5x)/100`

∴ `6420 xx 100` = 2x + 510000

∴ 642000 = 2x + 510000

∴ 2x = 642000 - 510000

∴ 2x = 132000

∴ x = 66000

∴ Cash sales = ₹ 66000

Credit sales = 102000 - x

= 102000 - 66000

= ₹ 36000

∴ Cash sales made by agent is ₹ 66,000 and credit sales is ₹ 36,000.

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Commission and Brokerage Agent
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पाठ 1: Commission, Brokerage and Discount - Exercise 1.1 [पृष्ठ ५]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Commission, Brokerage and Discount
Exercise 1.1 | Q 9 | पृष्ठ ५

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.


Priya gets a salary of ₹ 15,000 per month and commission at 8% on the sales over ₹ 50,000. If she gets ₹ 17,400 in a certain month, find the sales made by her in that month.


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.


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.


Deepak’s salary was increased from ₹ 4,000 to ₹ 5,000. The sales being the same, due to reduction in the rate of commission from 3% to 2%, his income remained unchanged. Find his sales.


A book seller ₹ 1,530 as 15% commission on list price. Find list price of the books.


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.


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


The payment date after adding 3 days of grace period is known as ______.


Broker is an agent who gives a guarantee to seller that the buyer will pay the sale price of goods.


State whether the following statement is True or False.

The buyer is legally allowed 6 days grace period.


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


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.


The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. Find the rate of interest.


A salesman is paid fixed monthly salary plus commission on the sales. If on sale of ₹ 96,000 and ₹ 1,08,000 in two successive months he receives in all ₹ 17,600 and ₹ 18,800 respectively, find his monthly salary and rate of commission paid to him.


An agent sold a car and charged 3% commission on sale value. If the owner of the car received
₹ 48,500, find the sale value of the car. If the agent charged 2% from the buyer, find his total remuneration.


An agent is paid a commission of 4% on cash sales and 6% on credit sales made by him. If on the sale of ₹ 51,000 the agent claims a total commission of ₹ 2,700, find the sales made by him for cash and on credit.


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 ______


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


The buyer is legally allowed ______ days grace period


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


State whether the following statement is True or False:

The trade discount is first calculated on the catalogue (list) price


An agent sold a car and charged 3% commission on sale value. If the owner of the car received ₹ 48,500, find the sale value of the car. If the agent charged 2% from the buyer, find his total remuneration


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

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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