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.

#### 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%.