Mauli purchased a designer saree from mumbai at 8/9thof its MRP.When she came…
2025
Mauli purchased a designer saree from mumbai at 8/9thof its MRP.When she came back to Delhi,her neighbour coaxed Mauli to sell the saree to her.She was even ready to pay 9% more than its MRP.What would Mauli‟sgain percentage be,if she decides to sell the saree to her neighbour?
- A.
15.59%
- B.
16.61%
- C.
20.36%
- D.
22.625%
Attempted by 41 students.
Show answer & explanation
Correct answer: D
Solution:
Let MRP = M.
Cost price = 8/9 of M = (8/9)M.
Neighbour pays 9% more than MRP, so selling price = M + 9% of M = 1.09M = 109/100 M.
Profit percentage = [(Selling price − Cost price) / Cost price] × 100.
Compute the difference: (109/100 M) − (8/9 M) = [(109/100) − (8/9)]M = (981/900 − 800/900)M = (181/900)M.
Divide by cost price: (181/900 M) ÷ (8/9 M) = (181/900) × (9/8) = 1629/7200.
Convert to percentage: (1629/7200) × 100 = 1629/72 = 22.625%.
Therefore the gain percentage is 22.625%.