Advertisements
Advertisements
Question
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.
Advertisements
Solution
Three cars were sold by agent for ₹ 2,40,000,
₹ 2,22,000 and ₹ 2,25,000 respectively.
Rates of commission for first and second car were 17.5% and 12.5% respectively.
Overall commission received after sales of three cars is 14%.
∴ Total commission = 14% on Total Sales
`= 14/100 xx (2,40,000 + 2,22,000 + 2,25,000)`
`= 14/100 xx 6,87,000`
= ₹ 96180 .....(i)
Commission on first car = `2,40,000 xx 17.5/100` = ₹ 42000 ......(ii)
Commission on second car = `2,22,000 xx 12.5/100` = ₹ 27750 ....(iii)
Let rate of commission on third car be x%.
Commission on third car = `2,25,000 xx x/100` .....(iv)
Total commission = Commission on first car + Commission on second car + Commission on third car
∴ From (i), (ii), (iii) and (iv),
`96,180 = 42,000 + 27,750 + 2,25,000 xx x/100`
∴ `96,180 = 69,750 + 2,25,000 xx x/100`
∴ `2,25,000 xx x/100 = 96,180 - 69,750`
∴ `2,25,000 xx x/100 = 26,430`
∴ x = `(26,430 xx 100)/225000`
∴ x = 11.75%
∴ Rate of commission on third car is 11.75%.
APPEARS IN
RELATED QUESTIONS
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.
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 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.
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 ______.
The payment date after adding 3 days of grace period 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?
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.
State whether the following statement is True or False:
The trade discount is first calculated on the catalogue (list) price
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.
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%.
