Question 1: Working Hours and Wages
- Working hours increased by 20%
- Wages per hour increased by 15%
- Overall increase = (1.20 × 1.15 - 1) × 100% = 1.38 - 1 = 38%
Question 2: Alloy Percentage
- Metal A = 5 kg
- Metal B = 20 kg
- Total = 25 kg
- Percentage of A = (5/25) × 100% = 20%
Question 3: Profit Calculation
- Gain = 22.5% on cost price
- Sale = Rs. 392
- If cost is x, then x × 1.225 = 392
- x = 392/1.225 = 320
- Profit = 392 - 320 = Rs. 72
Question 4: Original Price Problem
- Initial condition: SP = 1.25 × CP
- New condition: (CP - 300) × 1.3 = SP - 300
- Step 1: Substitute SP = 1.25CP from first equation into second equation
(CP - 300) × 1.3 = 1.25CP - 300
- Step 2: Expand left side
1.3CP - 390 = 1.25CP - 300