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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 ______ - Mathematics and Statistics

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Question

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 ______.

Options

  • ₹ 6,000

  • ₹ 7,550

  • ₹ 7,500

  • ₹ 1,500

MCQ
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Solution

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 ₹ 7,500.

Explanation -

Salesman earns 3% commission on the sales upto  ₹ 50,000 and 4% commission on the sales over ₹ 50,000.

His total sales is ₹ 2,00,000.

Commission on sales upto ₹ 50,000

`= 50,000 xx 3/100`

= ₹ 1,500

Commission on sales over ₹ 50,000

`= (2,00,000 - 50,000) xx 4/100`

`= 1,50,000 xx 4/100`

= ₹ 6,000

Total commission = 1,500 + 6,000 = ₹ 7,500

Total income on the sale of ₹ 2,00,000 is ₹ 7,500.

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Commission and Brokerage Agent
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Chapter 2.1: Commission, Brokerage and Discount - Q.1

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SCERT Maharashtra Mathematics and Statistics (Commerce) [English] 12 Standard HSC
Chapter 2.1 Commission, Brokerage and Discount
Q.1 | Q 1

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Solution: Total selling Price of three cars = 2,40,000 + 2,22,000 + 2,25,000

= `square`

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= `14/100 xx square`

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= `17.5/100 xx 2,40,000 = square`

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= `12.5/100 xx 2,22,000 = square`

∴ Commission on second car = ₹ `square`

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Commission on third car = `x/100 xx 2,25,000`

∴ Commission on third car = Total commission − (commission on first car + commission on second car)

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

∴ x = `square`


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