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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. - Mathematics and Statistics

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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.

बेरीज

उत्तर

Salesman earns 3% commission on the sales up to ₹ 50,000 and 4% commission on the sales over ₹ 50,000.

His total sales is ₹ 2,00,000.

∴ 3% Commission on sales upto ₹ 50,000

= ₹ `50,000 xx 3/100` = ₹ 1500  ...(i)

4% Commission on sales over ₹ 50,000

sales over ₹ 50,000

= ₹ (2,00,000 – 50,000) = ₹ 1,50,000

i.e., 4% commission on ₹ 1,50,000

= `1,50,000 xx 4/100` = ₹ 6000  ...(ii)

From (i) and (ii),

Total commission = ₹ (1,500 + 6,000) = ₹ 7,500

∴ Total income on the sale of ₹ 2,00,000 is ₹ 7,500.

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Commission and Brokerage Agent
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Commission, Brokerage and Discount - Exercise 1.1 [पृष्ठ ५]

संबंधित 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.


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.


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.


A certain sum due 3 months hence is `21/20` of the present worth, what is the rate of interest?


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


Fill in the Blank.

A _______ is an agent who brings together the buyer and the seller.


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 salesman gets a commission of 6.5% on the total sales made by him and bonus of 1% on sales ₹ 50,000. Find his total income on a turnover of ₹ 75,000.


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


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.


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 ______.


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


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


Three cars were sold through an agent for ₹ 2,40,000, ₹ 2,22,000 and ₹ 2,25,000 respectively. The rates of commission were 17.5% on the first, 12.5% on the second. If the agent overall received 14% commission on the total sales, find the rate of commission paid on the third car.

Solution: Total selling Price of three cars = 2,40,000 + 2,22,000 + 2,25,000

= `square`

Commision on total sale = 14%

= `14/100 xx square`

Selling price of First car = ₹ 2,40,000

Rate of commission = 17.5% 

= `17.5/100 xx 2,40,000 = square`

∴ Commission on first car = ₹ `square`

Selling price of Second car = ₹ 2,22,000

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`

∴ Commission on third car = Total commission − (commission on first car + commission on second car)

∴ `x/100 xx 2,25,000 = square - {square + square}`

∴ x = `square`


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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