in 2003 brijesh paid a tax of 20% of his salary. in 2004 his salary increased by 93×3/4 % and the tax scheme changed. under the new tax scheme he had to pay a fixed sum of rs.1000 and an additional 20% on the amount above rs 10000. his salary in 2004 was more than rs 10000 and he paid a tax of rs 500 more than what he paid in 2003. what is his salary in 2004
Let's break down the problem step by step.
Step 1: Calculate Brijesh's salary in 2003
We are given that Brijesh paid a tax of 20% of his salary in 2003. Let's assume his salary in 2003 to be S.
So, the tax paid in 2003 is 20% of S, which is 0.2S.
Step 2: Calculate Brijesh's salary increase in 2004
We are also given that Brijesh's salary increased by 93×3/4 % in 2004. Let's calculate the salary increase.
The increase is 93 × 3/4 % of S, which can be written as 0.93 × (3/4) × S.
Step 3: Calculate Brijesh's tax in 2004
In 2004, Brijesh had to pay a fixed sum of Rs. 1000 as tax. Additionally, he had to pay 20% on the amount above Rs. 10000. We also know that he paid Rs. 500 more in tax compared to 2003.
Let's define X as the amount above Rs. 10000 that Brijesh earned in 2004.
The tax paid in 2004 is:
Fixed Tax (Rs. 1000) + 20% of X (0.2X)
We are also given that Brijesh paid Rs. 500 more in tax in 2004 compared to 2003. So, we can set up the equation:
0.2S + 0.2X + Rs. 1000 = (0.2S + Rs. 500) + (0.2X + Rs. 1000)
Step 4: Solve the equation to find X and Brijesh's salary in 2004.
Simplify the equation:
0.2X + Rs. 1000 = 0.2X + Rs. 1500
Now, we can observe that both 0.2X cancel out on both sides of the equation.
Rs. 1000 = Rs. 1500
This equation cannot be true, which means our initial assumption was incorrect. This implies that Brijesh's salary was not above Rs. 10000 in 2004.
Therefore, we cannot determine Brijesh's salary in 2004 based on the given information.