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Anita is allowed 6.5% commission on the total sales made by her, plus a bonus of 12% on the sale over ₹ 20,000. If her total commission amounts to ₹ 3,400, find the sales made by her. - Mathematics and Statistics

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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.

योग

उत्तर

Let total sales made by Anita be ‘x’.

Rate of commission on total sales is 6.5%.

Commission earned = Total sales × Rate of commission

`= "x" xx 6.5/100 = (6.5 "x")/100`

Sales above ₹ 20,000 = (x – 20,000)

On sales above ₹ 20,000, she gets `1/2`% bonus.

∴ Commission earned = `("x" - 20000) xx 0.5/100`

`= (0.5"x" -10000)/100`

Total commission earned is ₹ 3,400.

Total commission = Commission on total sales + Bonus on sales

∴ `3400 = (6.5"x")/100 + (0.5"x" - 10000)/100`

∴ `3400 = (6.5"x" + 0.5"x" - 10000)/100`

∴ 340000 = 7x - 10000

∴ 340000 + 10000 = 7x

∴ 350000 = 7x

∴ x = 50000

∴ Total sales made by Anita is ₹ 50,000.

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

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Commission, Brokerage and Discount
Exercise 1.1 | Q 4 | पृष्ठ ५

संबंधित प्रश्न

Ms. Saraswati was paid ₹ 88,000 as a commission on the sale of computers at the rate of 12.5%. If the price of each computer was ₹ 32,000, how many computers did she sell?


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.


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.


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.


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?


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


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.


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.


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


State whether the following statement is True or False: 

A factor is an agent who is given the possession of goods and enters a contract for sale in his/her own name


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?


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