[3]
Q.4) A radio is purchased for 6,150. If 18 % discount is allowed on its
marked price and it still results in a gain of 5 %, find the marked price of
the radio?
Cada
discount is allowed
131
Answers
Step-by-step explanation:
Given :-
A radio is purchased for 6,150. If 18 % discount is allowed on its marked price and it still results in a gain of 5 %.
To find :-
Find the marked price of the radio?
Solution :-
Let the marked price of the radio be Rs. X
The purchased price of the radio = Rs. 6150
Percentage of Discount = 18%
Discount = MD/100
=> D = (X×18)/100
=> D = 18X/100
=> D = 9X/50
Discount = Rs. 9X/50
We know that
Selling Price = Marked Price - Discount
=> SP = X-(9X/50)
=> SP = (50X-9X)/50
=> SP = 41X/50
Gain on it = 5%
We know that
Cost price = (100×SP)/(100+g)
=>CP = [100×(41X/50)]/(100+5)
=>CP = (4100X /50)/105
=> CP = (41X×2)/105
=> CP = 82X/105
Cost price of the radio = Rs. 82X/105
According to the given problem
The Cost Price of the radio = Rs. 6150
=> 82X/105 = 6150
=> 82X = 6150×105
=> 82X = 645750
=> X = 645750/82
=> X = 7875
Marked price = Rs. 7875
Answer:-
The Marked Price of the radio is Rs. 7875
Check:-
Marked Price = Rs. 7875
Discount = 7875×18/100
=> D = 141750/100
=> Discount = Rs. 1417.50
Selling Price = 7875-1417.50
=> Selling Price = 6457.50
Gain = 5%
=> Cost Price = (100×6457.5)/105
=> Cost Price = 645750/105
=> Cost price = Rs. 6150
Verified the given relations in the given problem.
Step-by-step explanation:
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