SI = (P × R × T)/100 = (2000 × 8 × 3)/100 = 480

Let numbers be 5x and 8x. Difference: 8x - 5x = 24 → 3x = 24 → x = 8. Larger = 8(8) = 64

Total spent = 30% + 40% = 70%. Remaining = 100% - 70% = 30%

23 ÷ 5 = 4 remainder 3. (or 23 = 5×4 + 3)

Area = Length × Breadth → 96 = 12 × B → B = 8 cm

A = P(1 + R/100)^T = 1000(1.1)² = 1000 × 1.21 = 1210

Total work = 8 × 12 = 96 worker-days. For 6 workers: 96/6 = 16 days

Sum of five numbers = 24 × 5 = 120. Sum of four numbers = 18+22+26+28 = 94. Fifth number = 120-94 = 26

To find the new ratio of milk to water after removing and replacing part of the mixture, we track the quantities of each component separately.

Step 1: Find the proportion of milk and water in the original mixture

Total mixture = 60 + 40 = 100 liters

When 20 liters of mixture is removed:

- Milk removed: \(\frac{60}{100} \times 20 = 12\) liters

- Water removed: \(\frac{40}{100} \times 20 = 8\) liters

Step 2: Calculate milk and water remaining after removal

Step 3: Add 20 liters of pure milk

The 20 liters removed is replaced entirely with pure milk (no water added):

Step 4: Find the new ratio

Answer: The new ratio of milk to water is 17:8 (Option A)

Simple Interest = (P × R × T)/100 = (10000 × 8 × 2)/100 = 1600. Total = 10000 + 1600 = Rs. 11,600