Question

A salesman is appointed on a fixed monthly salary of Rs 1500/- together with a commission of 5% on the sales over Rs. 10,000/- during a month. If his monthly income is Rs. 2050/-, find his sales during that month.
$\left( A \right)$ Rs. 22,000
$\left( B \right)$ Rs. 20,000
$\left( C \right)$ Rs. 23,000
$\left( D \right)$ Rs. 21,000

Answer 1

Hint – In this particular question use the concept that his commission is the difference of his monthly salary including commission and his actual monthly salary so use this concept to reach the solution of the question.

Complete step-by-step answer:
Given data:
Salesman fixed monthly salary = Rs. 1500
Now he gets 5% commission on the sale over Rs. 10,000 during a month.
Now it is given that he gets Rs. 2050 as his monthly income, then we have to find out the sale during that month.
So the commission he gets is the difference of his monthly salary including commission and his actual monthly salary.
So the commission he get = 2050 – 1500 = Rs. 550
Now the commission he gets is over Rs. 10,000.
Let the sale over 10,000 be Rs. X
So the actual sale is the sum of Rs. 10000 and Rs. X
So the actual sale = 10,000 + X
Now according to the question the commission is on X Rs.
So the 5% of X is equal to the commission.
Therefore, $\dfrac{5}{{100}} \times X = 550$
Now simplify this equation we have,
Therefore, $X = \dfrac{{550\left( {100} \right)}}{5} = 110\left( {100} \right) = 11000$ Rs.
So his sales during that month is = 10,000 + 11,000 = Rs. 21,000
So this is the required answer.
Hence option (D) is the correct answer.

Note – Whenever we face such types of question the key concept we have to remember is that the commission which he got is on the sales over Rs. 10000 (i.e. if the sale is of Rs. 20000 then he get commission on Rs. 20000 – 10000 = 10000), so first find the commission he receives as above then calculate the sale over Rs. 10,000 as above we will get the required answer.