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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.
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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
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.
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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.
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An agent charges 10% commission plus 2% delcreder. If he sells goods worth ₹ 37,200, find his total earnings.
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An agent who is given the possession of goods to be sold is known as
The date on which the period of the bill expires is called
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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.
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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
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 ______.
Choose the correct alternative:
The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. The True discount is ______
The buyer is legally allowed ______ days grace period
State whether the following statement is True or False:
The trade discount is first calculated on the catalogue (list) price
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%.
