Rudra goes to a shop to get an encyclopaedia costing ₹11.212.32 .If th...
Understanding Discounts
To determine which discount option offers the maximum reduction in price for the encyclopaedia that costs ₹11,212.32, we will calculate the final price for each option.
Option A: 2 Successive Discounts of 15%
- First discount of 15%:
Price after first discount = ₹11,212.32 - (15% of ₹11,212.32)
= ₹11,212.32 - ₹1,681.85
= ₹9,530.47
- Second discount of 15% on ₹9,530.47:
= ₹9,530.47 - (15% of ₹9,530.47)
= ₹9,530.47 - ₹1,429.57
= ₹8,100.90
Option B: Single Discount of 30%
- Price after 30% discount:
= ₹11,212.32 - (30% of ₹11,212.32)
= ₹11,212.32 - ₹3,363.70
= ₹7,848.62
Option C: 2 Successive Discounts of 20% and 10%
- First discount of 20%:
Price after 20% discount = ₹11,212.32 - (20% of ₹11,212.32)
= ₹11,212.32 - ₹2,242.46
= ₹8,969.86
- Second discount of 10% on ₹8,969.86:
= ₹8,969.86 - (10% of ₹8,969.86)
= ₹8,969.86 - ₹896.99
= ₹8,072.87
Option D: 2 Successive Discounts of 20% and 12%
- First discount of 20%:
Price after 20% discount = ₹11,212.32 - ₹2,242.46
= ₹8,969.86
- Second discount of 12% on ₹8,969.86:
= ₹8,969.86 - (12% of ₹8,969.86)
= ₹8,969.86 - ₹1,076.38
= ₹7,893.48
Final Comparison
- Option A: ₹8,100.90
- Option B: ₹7,848.62
- Option C: ₹8,072.87
- Option D: ₹7,893.48
Maximum Discount Option
The maximum discount is provided by **Option B**, with a final price of **₹7,848.62**.