A salesman is allowed 5% commission on the total sale made by him plus a bonus of 1% on the excess of his sale over Rs. 20,000/-. If the total earning of Rs. 1,450/- on commission alone, find his total earnings?
A. Rs. 100
B. Rs. 90
C. Rs. 310
D. Rs. 40
Answer
633.9k+ views
Hint: We have to find his total earnings when the salesman is allowed 5% commission on the total sale made by him plus a bonus of 1% on the excess of his sale over Rs. 20,000/- If the total earning of Rs. 1,450/- on commission alone. So, first of all we have to let his total sales be $x$, then we have to take 5% of his total sales equal to its total earnings on commission alone, which is Rs. 1,450/-, from there we have to find the value of $x$.
Now, we have to find his excess sale, then we have to take 1% of his excess sale to find his total earnings.
Complete answer:
Step 1: First of all we have to let his total sales = $x$
Step 2: As given in the question, he allows 5% commission on the total sale and earns a total earnings equal to Rs. 1,450/-
Hence,
$
\Rightarrow 5\% \times x = 1450 \\
\Rightarrow \dfrac{5}{{100}} \times x = 1450 \\
\Rightarrow x = 1450 \times \dfrac{{100}}{5} \\
\Rightarrow x = 29000/ - \\
$
Step 3: As given in the question, He gives a bonus of 1% on the excess of his sale over Rs. 20,000/-
So, first of all we have to find his excess sale that is mentioned below:
Excess sale $ = 29000 - 20000$
$ \Rightarrow 9000/ - $
So, his total earnings be,
$
\Rightarrow 1\% \times 9000 \\
\Rightarrow \dfrac{1}{{100}} \times 9000 \\
\Rightarrow 90/ - \\
$
His total earnings be 90/- hence, option (B) is correct.
Note:
It is necessary that we have to determine the 5% of the amount we let for the total sale to determine the 5% of the commission form the total sale.
Now, we have to find his excess sale, then we have to take 1% of his excess sale to find his total earnings.
Complete answer:
Step 1: First of all we have to let his total sales = $x$
Step 2: As given in the question, he allows 5% commission on the total sale and earns a total earnings equal to Rs. 1,450/-
Hence,
$
\Rightarrow 5\% \times x = 1450 \\
\Rightarrow \dfrac{5}{{100}} \times x = 1450 \\
\Rightarrow x = 1450 \times \dfrac{{100}}{5} \\
\Rightarrow x = 29000/ - \\
$
Step 3: As given in the question, He gives a bonus of 1% on the excess of his sale over Rs. 20,000/-
So, first of all we have to find his excess sale that is mentioned below:
Excess sale $ = 29000 - 20000$
$ \Rightarrow 9000/ - $
So, his total earnings be,
$
\Rightarrow 1\% \times 9000 \\
\Rightarrow \dfrac{1}{{100}} \times 9000 \\
\Rightarrow 90/ - \\
$
His total earnings be 90/- hence, option (B) is correct.
Note:
It is necessary that we have to determine the 5% of the amount we let for the total sale to determine the 5% of the commission form the total sale.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

