Mr a sale a bicycle to Mr b at a profit of 20 percent and Mr be sale to Mr seat up at 25% if Mr C pay Rs 15,500 what did Mr a pay for it
Answers
The correct question is:-
Q) Mr.A Sells a bicycle to Mr.B at a profit of 20% and Mr.B sells to Mr.C at a profit of 25%. if Mr.C pays Rs.1500, what did Mr. A Pay for it?
Answer:
Step-by-step explanation:
The cycle of purchasing the bicycle goes like this:-
A→→→→→B→→→→→C
But in order to solve this question easily, let us start from the last part instead of going for the first part!
Now, the cycle we need looks something like this:-
C→→→→→B→→→→→A
Here, CP for Mr.C is SP for Mr.B=RS.15,000
Profit for Mr.B=25%
So, CP of the bicycle when Mr.B bought it=SP*100/100-Gain%
=15,000*100/100-25
=15,00000/75
=60,000/3
=20,000
Now, Mr.A's SP is Mr.B's CP=RS.20,000
Profit for Mr.A=20%
Now, CP for Mr.A=SP*100/100-Gain%
=20,000*100/100-20
=20,00,000/80
=200000/8
=50000/2
=25,000
So, Mr.A paid RS.25,000 for the bicycle.
Concept : CP + (CP × Profit %) = SP
Mr. B's sold bicycle to Mr. C at Rs 15500, then SP for Mr. B is Rs 15500.
CP + (CP × 25%) = Rs 15500
CP + (CP × 25/100) = 15500
125/100 CP = 15500
CP for Mr. B = 15500 × 100/125 = Rs. 12400
This means that Mr. A sold bicycle to Mr. B at Rs 12400, then CP of Mr. A will be,
CP + (CP × 20%) = 12400
CP + 20/100 CP = 12400
120/100 CP = 12400
CP for Mr.A = 12400 × 100/120 = Rs. 10,333.3
Mr. A paid ₹ 10,333.3 for that bicycle.