हिंदी

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%

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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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Commission and Brokerage Agent
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Commission, Brokerage and Discount - Exercise 1.1 [पृष्ठ ५]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Commission, Brokerage and Discount
Exercise 1.1 | Q 10 | पृष्ठ ५

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