हिंदी

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. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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.

योग
Advertisements

उत्तर

Let the sales made by Deepak be ‘x’.

Existing Salary received is ₹ 4,000

Rate of commission is 3%

∴ Initial income of Deepak = Salary + Commission on sales

= 4000 + 3% on x

= `4000 + (3x)/100`      ...(i)

Salary was increased to ₹ 5,000 and rate of commission decreased to 2%. However, sales was still the same.

∴ New income of Deepak = Salary + Commission on sales

= 5000 + 2% on x

= `5000 + (2x)/100`     ...(ii)

It is given that the income of Deepak remained unchanged.

∴ `4000 + (3x)/100 = 5000 + (2x)/100`       .....[From (i) and (ii)]

∴ ` (3x)/100 - (2x)/100 = 5000 - 4000`

∴ `x/100 = 1000`

∴ x = 1,00,000

∴ Sales made by Deepak is ₹ 1,00,000.

shaalaa.com
Commission and Brokerage Agent
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Commission, Brokerage and Discount - Exercise 1.1 [पृष्ठ ५]

संबंधित प्रश्न

An agent charges 12% commission on the sales. What does he earn if the total sale amounts to ₹ 48,000? What does the seller get?


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.


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?


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.


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


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?


Choose the correct alternative.

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


Fill in the Blank.

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


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 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.


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.


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 ______


Ananya gets 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


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 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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×