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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
∴ `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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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
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`
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∴ `x/100 xx 2,25,000 = square - {square + square}`
∴ x = `square`
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