Question

The monthly salary of a salesman of a departmental store is Rs 12,500 and an additional payment of 0.5 % on the total monthly sale is provided as commission.

i) Calculate his total income in a month if he makes a total sale of Rs 7,20,000 in that month.

ii) What should be his total sale in the next month so that he can receive a total income of Rs 20,000 in the month?​

Answer 1

Answer:

i. $Total\ Income = Rs\ 16,100$

ii. $Monthly\ Sales = Rs\ 1,500,000$

Step-by-step explanation:

Given

$Salary = Rs\ 12,500$

Commission = 0.5% of Monthly Sales

Calculating his total income is total sales is  Rs 720,000

$Total\ Income = Salary + Commission$

Substitute (0.5% of Monthly Sales) for Commission

$Total\ Income = Salary + (0.5\%\ of\ Monthly\ Sales)$

Substitute Rs 720,000 for Monthly Sales and Rs 12,500 for Salary

$Total\ Income = Rs\ 12,500 + 0.5\%\ of\ Rs\ 720,000$

$Total\ Income = Rs\ 12,500 + 0.5\%\ * Rs\ 720,000$

Convert % to decimal

$Total\ Income = Rs\ 12,500 + 0.005\ * Rs\ 720,000$

$Total\ Income = Rs\ 12,500 + Rs\ 3,600$

$Total\ Income = Rs\ 16,100$

Calculating his total sales if total income = Rs 20,000

Recall that;

$Total\ Income = Salary + Commission$

Substitute Rs 20,000 for Total Income; Rs 12,500 for Salary and (0.5% of Monthly Sales) for Commission

$Rs\ 20,000 = Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales$

Subtract Rs 12,500 from both sides

$Rs\ 20,000 - Rs\ 12,500 = Rs\ 12,500 - Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales$

$Rs\ 7,500 = 0.5\%\ of\ Monthly\ Sales$

$Rs\ 7,500 = 0.5\%\ *\ Monthly\ Sales$

Divide both sides by 0.5%

$\frac{Rs\ 7,500}{0.5\%} = \frac{0.5\%\ *\ Monthly\ Sales}{0.5\%}$

$\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales$

Convert % to decimal

$\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales$

$\frac{Rs\ 7,500}{0.005} = Monthly\ Sales$

$Rs\ 1,500,000 = Monthly\ Sales$

$Monthly\ Sales = Rs\ 1,500,000$