Maharashtra State BoardHSC Commerce 12th Board Exam
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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 - Mathematics and Statistics

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Sum

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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Solution

Income of Pavan = Salary + Commission on sales

∴ For first week, his income is,

9880 = Salary + Commission on 68000     ...(i)

∴ For second week his income is,

10180 = Salary + commision on 73000   ....(ii)

Subtracting (i) from (ii) we get,

     Salary + Commission on 73,000 = 10,180
(–) Salary + Commission on 68,000 = 9,880
     (-)       (-)                                       (-)       
         Commission on 5,000 = 300

∴ On sales of ₹ 5,000, commission is ₹ 300

Commission = Sales × Rate of commission

∴ 300 = 5,000 × Rate of commission

∴ Rate of commission = `300/5000 xx 100` = 6%

∴ Commission on sales of ₹ 68,000 at the rate of 6% `= 68,000 xx 6/100` = ₹ 4080 

∴ Substituting ₹ 4,080 in equation (i),

Salary + Commission on 68,000 = 9,880

Salary + 4,080 = 9,880

∴ Salary = 9,880 – 4,080 = ₹ 5,800

∴ Weekly salary of Pavan is ₹ 5,800 and rate of commission is 6%.

Concept: Commission and Brokerage Agent
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Commission, Brokerage and Discount
Exercise 1.1 | Q 7 | Page 5
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