If three successive discounts of 10%, 15% and 30% are given, then what will be the net discount (in percentage)?
- A53.15
- B55
- C46.45
- D43.45
Solution & Step-by-step Explanation
Let the initial Marked Price (MP) be 100.
After the first discount of 10%:
Price=100×(1−0.10)=90
After the second discount of 15%:
Price=90×(1−0.15)=90×0.85=76.5
After the third discount of 30%:
Price=76.5×(1−0.30)=76.5×0.70=53.55
The final Net Selling Price is 53.55.
Net Discount=100−53.55=46.45%
After the first discount of 10%:
Price=100×(1−0.10)=90
After the second discount of 15%:
Price=90×(1−0.15)=90×0.85=76.5
After the third discount of 30%:
Price=76.5×(1−0.30)=76.5×0.70=53.55
The final Net Selling Price is 53.55.
Net Discount=100−53.55=46.45%