Question

Deepak salary was incrased
from 4000 to 5000
the sales being the same
due to reduction in the
rate of commission from
3%& to 2%. his o income
remained unchanged find
the sales​

Answer 1

Given:

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%,

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

= $0.03x$

and

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

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

= $0.02x$

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]

⇒ $[4000 + 0.03x] = [5000 + 0.02x]$

⇒ $0.03x - 0.02x = 5000 - 4000$

⇒ $0.01x = 1000$

⇒ $x = \frac{1000}{0.01}$

⇒ $\bold{x = 1,00,000}$

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

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