After receiving 3 successive discounts of 10%, 20% and 25% on MP of furniture, Maya purchased
the furniture for Rs.9720. Determine the MP of the furniture.
Answers
Step-by-step explanation:
Given :-
After receiving 3 successive discounts of 10%, 20% and 25% on MP of furniture, Maya purchased the furniture for Rs.9720.
To find :-
Determine the MP of the furniture.
Solution :-
Let the Marked Price of the furniture be Rs. X
First discount percentage on it = 10%
Discount = 10% of MP
=> D = 10% × X
=> D = (10/100)×X
=> D = (1/10)×X
=> D = X/10
Price of the furniture after allowing 10% discount
= X - (X/10)
=> (10X-X)/10
=> 9X/10
The price of the furniture = Rs. 9X/10
Now
Second discount percentage on it = 20%
Discount = 20% of the price
=> D = (20/100)×(9X/10)
=>D = (1/5)×(9X/10)
=> D = 9X/50
Price of the furniture after second discount
= (9X/10)-(9X/50)
=> (45X-9X)/50
=> 36X/50
=> 18X/25
The price of the furniture = Rs. 18X/25
Now,
The third discount percentage = 25%
=> Discount = 25% of the price
=> D = (25/100)×(18X/25)
=> D = 18X/100
=> D = 9X/50
The final price of the furniture after allowing the successive discounts
= (18X/25) -(9X/50)
= (36X-9X)/50
= 27X/50
According to the given problem
Maya purchased the furniture for Rs.9720.
=> 27X/50 = 9720
=> 27X = 9720×50
=> 27X = 496000
=> X = 496000/27
=> X = 18000
The MP = Rs. 18000
Answer:-
The Marked Price of the given furniture is
Rs. 18000
Check :-
MP = 18000
D% = 10%
Discount = 18000×10/100=1800
Price = 18000-1800 = 16200
Second discount = 20%
Price of the furniture
=> 16200-(16200×20/100)
=> 16200-3240
=> 12960
The final discount = 25%
The final price of the furniture
=> 12960-(25% of 12960)
=> 12960-(12960×25/100)
=> 12960-3240
=> 9270
So final price is Rs. 9270 which is purchased by Maya (Given )
Verified the given relations in the given problem
Used formulae:-
- Discount is always calculated on the Marked Price.
- Discount=(D) = MD/100
- M = Marked Price