A shopkeeper marked up an article 2R% above cost price and allow a discount of…
2025
A shopkeeper marked up an article 2R% above cost price and allow a discount of 25% and sold it loss of 19% at Rs. 648. Find the value of ‘R’?
- A.
8
- B.
6
- C.
5
- D.
4
- E.
3
Attempted by 3 students.
Show answer & explanation
Correct answer: D
Find the Cost Price (CP):
The shopkeeper sold the article at a 19% loss for Rs. 648.
Selling Price (SP) = CP × (1 - 0.19)
648 = CP × 0.81
CP = 648 / 0.81 = 800
Find the Marked Price (MP):
The shopkeeper allowed a 25% discount on the Marked Price (MP) to sell it at Rs. 648.
SP = MP × (1 - 0.25)
648 = MP × 0.75
MP = 648 / 0.75 = 864
Find the value of R:
The article was marked up 2R% above the Cost Price.
MP = CP × (1 + 2R/100)
864 = 800 × (1 + 2R/100)
864 / 800 = 1 + 2R/100
1.08 = 1 + 2R/100
0.08 = 2R/100
8 = 2R
R = 4
The value of R is 4, which corresponds to Option 4.