What is the single discount equivalent to the three successive discounts of 10%, 40% and 25%?
- A45.50%
- B37.50%
- C59.50%
- D65.50%
Solution & Step-by-step Explanation
Let the initial marked price be 100.
After the first discount of 10%:
Price=100×(1−
100
10
)=100×0.9=90
After the second discount of 40%:
Price=90×(1−
100
40
)=90×0.6=54
After the third discount of 25%:
Price=54×(1−
100
25
)=54×0.75=40.5
The final selling price is 40.5.
Total equivalent single discount=Initial Price−Final Price=100−40.5=59.50%
After the first discount of 10%:
Price=100×(1−
100
10
)=100×0.9=90
After the second discount of 40%:
Price=90×(1−
100
40
)=90×0.6=54
After the third discount of 25%:
Price=54×(1−
100
25
)=54×0.75=40.5
The final selling price is 40.5.
Total equivalent single discount=Initial Price−Final Price=100−40.5=59.50%