Value = 10,000 × (1.08)² = 10,000 × 1.1664 = 11,664.
Sale price = 500 × 0.7 = 350.
CP × 1.1 = 1100, so CP = 1000.
Value = 500,000 × (0.95)² = 500,000 × 0.9025 = 451,250.
CP = 5000, MP = 7500. After 10% discount: 6750. After 5% discount: 6412.5. Profit% = (1412.5/5000) × 100 = 28.25%. Let me recalculate: 7500 × 0.9 × 0.95 = 6412.5. Profit = 1412.5. Profit% = 28.25%. Closest is 28.75% or recalculate: (6412.5-5000)/5000 = 28.25%.
2025 revenue = 1 crore × 1.35 = 1.35 crore.
Profit per mango = 5. Total profit = 5 × 100 = 500.
40% of MP = 480. MP = 480/0.4 = 1200.
This problem uses the relationship between price reduction, quantity purchased, and total expenditure. We'll set up an equation comparing purchases before and after the price change.
Step 1: Define variables
Let the original price of sugar be \(P\) per kg.
After a 15% reduction, the new price is:
Step 2: Set up the quantity equation
With ₹510, the customer can buy:
- Original: \(\frac{510}{P}\) kg
- After reduction: \(\frac{510}{0.85P}\) kg
The difference is 3 kg:
Step 3: Simplify the equation
Factor out 510:
Step 4: Solve for P
Verification: At ₹30/kg: buys \(\frac{510}{30} = 17\) kg. At ₹25.50/kg: buys \(\frac{510}{25.50} = 20\) kg. Difference = 3 kg. ✓
Answer: The original price was ₹30 per kg (Option A)
Net change = 20 - 10 - (20×10)/100 = 10 - 2 = 8% increase
