Let the total profit be $PP$P.

Step 1: Calculate A’s Salary

A receives 10% of the total profit as a salary:

$A’s salary=0.1P\backslash text\{A’s\; salary\}\; =\; 0.1P$A’s salary=0.1PThe remaining profit after A’s salary is:

$Remaining profit=P-0.1P=0.9P\backslash text\{Remaining\; profit\}\; =\; P\; –\; 0.1P\; =\; 0.9P$Remaining profit=P−0.1P=0.9P

Step 2: A’s Total Earnings

According to the problem, A’s total earnings amount to ₹3,00,000:

$0.1P+A’s share from remaining profit=3,00,0000.1P\; +\; \backslash text\{A’s\; share\; from\; remaining\; profit\}\; =\; 3,00,000$0.1P+A’s share from remaining profit=3,00,000

Step 3: Distribution of Remaining Profit

The remaining profit $0.9P0.9P$0.9P is distributed among A, B, and C in the ratio 2:3:4. The total parts in the ratio are:

$2+3+4=92\; +\; 3\; +\; 4\; =\; 9$2+3+4=9Thus, A’s share from the remaining profit is:

$A’s share from remaining profit=\frac{2}{9}\times 0.9P=\frac{2}{10}P=0.2P\backslash text\{A’s\; share\; from\; remaining\; profit\}\; =\; \backslash frac\{2\}\{9\}\; \backslash times\; 0.9P\; =\; \backslash frac\{2\}\{10\}P\; =\; 0.2P$A’s share from remaining profit=92​×0.9P=102​P=0.2P

Step 4: Combine A’s Earnings

Now substituting A’s share into the total earnings equation:

$0.1P+0.2P=3,00,0000.1P\; +\; 0.2P\; =\; 3,00,000$0.1P+0.2P=3,00,000 $0.3P=3,00,0000.3P\; =\; 3,00,000$0.3P=3,00,000

Step 5: Calculate Total Profit

Solving for $PP$P:

$P=\frac{3,00,000}{0.3}=10,00,000P\; =\; \backslash frac\{3,00,000\}\{0.3\}\; =\; 10,00,000$P=0.33,00,000​=10,00,000

Step 6: Calculate B and C’s Shares

Now that we have the total profit, we can find B and C’s shares.

Remaining Profit Calculation:

$Remaining profit=0.9P=0.9\times 10,00,000=9,00,000\backslash text\{Remaining\; profit\}\; =\; 0.9P\; =\; 0.9\; \backslash times\; 10,00,000\; =\; 9,00,000$Remaining profit=0.9P=0.9×10,00,000=9,00,000

B’s Share:

$B’s share=\frac{3}{9}\times 9,00,000=\frac{3}{9}\times 9,00,000=3,00,000\backslash text\{B’s\; share\}\; =\; \backslash frac\{3\}\{9\}\; \backslash times\; 9,00,000\; =\; \backslash frac\{3\}\{9\}\; \backslash times\; 9,00,000\; =\; 3,00,000$B’s share=93​×9,00,000=93​×9,00,000=3,00,000

C’s Share:

$C’s share=\frac{4}{9}\times 9,00,000=\frac{4}{9}\times 9,00,000=4,00,000\backslash text\{C’s\; share\}\; =\; \backslash frac\{4\}\{9\}\; \backslash times\; 9,00,000\; =\; \backslash frac\{4\}\{9\}\; \backslash times\; 9,00,000\; =\; 4,00,000$C’s share=94​×9,00,000=94​×9,00,000=4,00,000

Conclusion:

Thus, the amounts received by B and C are:

• B receives: ₹3,00,000
• C receives: ₹4,00,000