Question

A selling agent gets \[Rs.10,200\] in a month. This includes his monthly salary of \[Rs.6000\] and \[6\% \] commission for the sales. Find the value of goods he sold.

Answer 1

Hint: Here you see that in this question a selling agent gets \[Rs.10,200\] in a month which includes his commission. Also for his sales, it is mentioned that his monthly salary is \[Rs.6000\] and his commission percentage is \[6\% \] which mean if he sells goods for \[100{\text{ }}Rs\], he will get \[6{\text{ }}Rs\].

Complete step by step answer:
 It is given that salary of agent is \[6000\] and his commission for every good he sold is \[6\% \] and that month agents gets \[10200\] so let’s move toward the solution of this question
Let’s calculate the extra money that he earns that month as commission
Step 1: Agent earn extra money = what he gets - salary
\[\begin{array}{*{20}{l}}
  { = {\text{ }}10200 - 6000} \\
  { = {\text{ }}4200{\text{ }}Rs}
\end{array}\]
Now we got commission amount and we move forward to calculate value of the goods
Step 2: Suppose the value of goods is x
 The after commission the price of goods is \[\left( {x + 6} \right)\% \] of x i.e.
\[
  \dfrac{6}{{100}}x = 4200 \\
  x = \dfrac{{4200 \times 100}}{6} \\
  x = 70000 \\
 \]
Hence the value of good is \[Rs\;70000\].

Note: In this type of question students sometimes consider that \[10200{\text{ }}Rs\] . is the amount which includes his salary + goods value + its commission. But it's not like that.What he gets after salary is only his commission. Sometimes students mistakenly calculate percentages like \[x + \dfrac{6}{{100}}x\] where x is the price of goods which is again a wrong concept.