A sells a bicycle to B at a profit of 20% and B cells it to C at a profit of 5%. If C pays Rs 3780, what did A pay for it?
Answers
Step-by-step explanation:
Given :-
A sells a bicycle to B at a profit of 20% and B cells it to C at a profit of 5% and C pays Rs 3780.
To find :-
what did A pay for it?
Solution :-
Let the Cost Price of a bicycle be Rs. X
Profit gained by A on it (g) = 20%
We know that
Selling Price = [(100+g)×CP]/100
=> SP = (100+20)(X/100)
=> SP = 120X/100
=> SP = 6X/5
Selling Price of the bicycle by A
= Rs. 6X/5
The Cost Price of the bicycle by B
= Rs. 6X/5
Profit gained by B on it = 5%
We know that
Selling Price = [(100+g)×CP]/100
=> SP= (100+5)(6X/5)/100
=> SP = (105)(6X)/500
=> SP = 630X/500
=> SP = 63X/50
Selling Price of the bicycle by B
= Rs. 63X/50
Cost Price of the bicycle by C
= Rs. 63X/50
According to the given problem
Amount paid by C = Rs. 3780
=>63X/50 = 3780
=>63X = 3780×50
=>63X = 189000
=>X = 189000/63
=>X = 3000
The Cost Price of the bicycle = Rs. 3000
Answer:-
The amount paid by A for the bicycle is
Rs. 3000
Used formulae:-
- Selling Price = [(100+g)×CP]/100
- CP = Cost Price
- g = Gain