Question

Deepaks salary was increased from ₹ 4000 to ₹ 5000. The sales be8ng the same , due to reduction in the rate of commission from 3% to 2% , his income remained unchanged. find his sales ​

Answer 1

Answer:

Deepak's salary was increased from 4000 to 5000

Due to reduction in the rate of commission from 3% to 2% the sales remains the same

His income remains unchanged

To find:

The sales

Solution:

Let "x" represent the sales amount received by Deepak.

So,

His initial amount of commission, when the rate of commission was 3%,

= \frac{3}{100} \times x

100

3

×x

= 0.03x0.03x

and

His new amount of commission, when the rate of commission is 2%,

= \frac{2}{100}\times x

100

2

×x

= 0.02x0.02x

Also,

Deepak's initial salary was = Rs. 4000

Deepak's new salary is = Rs. 5000

Now, as we are given that his income remains the same, therefore we get

Initial Income = New Income

⇒ [Initial Salary + Initial commission] = [New salary + New commission]

⇒ [4000 + 0.03x] = [5000 + 0.02x][4000+0.03x]=[5000+0.02x]

⇒ $$\begin{lgathered}0.03x - 0.02x = 5000 - 4000\\\end{lgathered}$$

⇒ $$0.01x = 1000$$

⇒ $$x = \frac{1000}{0.01}$$

⇒ $$\bold{x = 1,00,000}$$

Thus, the sales made by Deepak is Rs. 1,00,000.