Step 1: Calculate profit shares in the ratio 5 : 3 : 8
Total ratio = \( 5 + 3 + 8 = 16 \)
Aman’s share = \( \frac{5}{16} \times 8,00,000 = ₹2,50,000 \)
Raj’s share = \( \frac{3}{16} \times 8,00,000 = ₹1,50,000 \)
Suresh’s share = \( \frac{8}{16} \times 8,00,000 = ₹4,00,000 \)
Step 2: Apply minimum guarantee
Suresh was guaranteed ₹5,00,000 but got only ₹4,00,000
Deficiency = ₹5,00,000 – ₹4,00,000 = ₹1,00,000
To be borne equally by Aman and Raj
So, Aman’s sacrifice = ₹50,000
Raj’s sacrifice = ₹50,000
Final adjusted shares:
Aman = ₹2,50,000 – ₹50,000 = ₹2,00,000
Raj = ₹1,50,000 – ₹50,000 = ₹1,00,000
Suresh = ₹4,00,000 + ₹1,00,000 = ₹5,00,000
Profit and Loss Appropriation Account for the year ended 31st March, 2024
| Dr. | Cr. | ||
|---|---|---|---|
| Particulars | Amount (₹) | Particulars | Amount (₹) |
| To Aman’s Capital A/c | ₹2,00,000 | By Net Profit | ₹8,00,000 |
| To Raj’s Capital A/c | ₹1,00,000 | ||
| To Suresh’s Capital A/c | ₹5,00,000 | ||
| Total | ₹8,00,000 | Total | ₹8,00,000 |
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

In a Linear Programming Problem (LPP), the objective function $Z = 2x + 5y$ is to be maximized under the following constraints: 
\[ x + y \leq 4, \quad 3x + 3y \geq 18, \quad x, y \geq 0. \] Study the graph and select the correct option.