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प्रश्न
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.
उत्तर
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%.
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संबंधित प्रश्न
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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.
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.
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.
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.
An agent who gives guarantee to his principal that the party will pay the sale price of goods is 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
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%.
