A book is sold at a discount of 32% and an additional discount of 25% is allowed on cash payment. If Ramesh purchased the book by paying Rs. 2,550 in cash, find the marked price of the book.
- ARs. 5,000
- BRs. 5,050
- CRs. 4,950
- DRs. 5,560
Solution & Step-by-step Explanation
Let the marked price of the book be MP.
The successive discounts are 32% and 25%.
The final selling price (SP) can be expressed as:
SP=MP×(1−
100
32
)×(1−
100
25
)
Given that SP=2550:
2550=MP×
100
68
×
100
75
2550=MP×
25
17
×
4
3
2550=MP×
100
51
Solving for MP:
MP=
51
2550×100
Since
51
2550
=50:
MP=50×100=Rs. 5,000
The successive discounts are 32% and 25%.
The final selling price (SP) can be expressed as:
SP=MP×(1−
100
32
)×(1−
100
25
)
Given that SP=2550:
2550=MP×
100
68
×
100
75
2550=MP×
25
17
×
4
3
2550=MP×
100
51
Solving for MP:
MP=
51
2550×100
Since
51
2550
=50:
MP=50×100=Rs. 5,000