A single discount equivalent to three successive discounts of 10%, 12% and 15% is:
- A32.68%
- B33.55%
- C30.87%
- D31.87%
Solution & Step-by-step Explanation
Let the initial price be 100.
After 10% discount: 100×0.90=90
After 12% discount: 90×(1−0.12)=90×0.88=79.2
After 15% discount: 79.2×(1−0.15)=79.2×0.85=67.32
Total effective discount = 100−67.32=32.68%
After 10% discount: 100×0.90=90
After 12% discount: 90×(1−0.12)=90×0.88=79.2
After 15% discount: 79.2×(1−0.15)=79.2×0.85=67.32
Total effective discount = 100−67.32=32.68%