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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
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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
∴ 48,500 = `x - (3x)/100`
∴ 48,500 = `(97x)/100`
∴ x = `(48,500 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
= `2/10 xx 50,000`
= ₹ 1,000
∴ 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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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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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.
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An agent who gives a guarantee to his principal that the party will pay the sale price of goods is called ______.
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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
The payment date after adding 3 days of grace period is known as ______.
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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?
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
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.
The present worth of ₹ 11,660 due 9 months hence is ₹ 11,000. Find the rate of interest.
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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
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
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%.
