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1 mark

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.

  1. A
    Rs. 5,000
  2. B
    Rs. 5,050
  3. C
    Rs. 4,950
  4. D
    Rs. 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

Practice this question

Try it yourself before checking the explanation above.

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.
A
Rs. 5,000
B
Rs. 5,050
C
Rs. 4,950
D
Rs. 5,560

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