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प्रश्न
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.
उत्तर
Let sale value of the car be ₹ x.
Since, agent charged 3% commission on the sale value
∴ Agent's commission from seller = 3% of sale value
= 3% of x = `3/100 xx x`
`= (3x)/100`
Amount received by the owner = Sale value of the car - Agent's commission
∴ `48500 = x - "3x"/100`
∴ `48500 = (97x)/100`
∴ x = `(48500 xx 100)/97`
∴ x = ₹ 50,000
∴ Sale value of the car is ₹ 50,000.
∴ Agent's commission from seller = 3% of sale value
∴ 3% of ₹ 50,000
`= (3 xx 50,000)/100`
= ₹ 1,500
Also, he charged 2% commission to the buyer.
∴ Agent's commission from buyer = 2% of sale value
= 2% of ₹ 50,000
`= 2/100 xx 50,000`
= ₹ 1000
∴ Agent's total remuneration = Commission from seller + Commission from buyer
= 1,500 + 1,000 = ₹ 2,500
∴ Sale value of car is ₹ 50,000 and total remuneration of the agent is ₹ 2,500.
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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?
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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.
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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.
An agent charges 10% commission plus 2% delcreder. If he sells goods worth ₹ 37,200, find his total earnings.
Fill in the Blank.
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State whether the following statement is True or False.
The buyer is legally allowed 6 days grace period.
The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. Find the rate of interest.
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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 ______
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:
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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
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%.
