X make a 15% profit on set of sketch pen he sell to k . k sell to M , M generate 20% profit if M make a payment of 690 what was original cost of sketch pen set. ..
Answers
Step-by-step explanation:
Given :-
X make a 15% profit on set of sketch pen he sell to k . k sell to M , M generate 20% profit if M make a payment of Rs. 690.
To find :-
What was original cost of sketch pen set.?
Solution :-
Let the cost price of the set of sketch pens be
Rs. A
Profit got by X for selling it to k = 15%
We know that
Selling Price = [(100+g)×CP]/100
=> SP = [(100+15)×A]/100
=> SP = 115A/100
=> SP = 23A/20
Selling Price = Rs. 23A/20
If K sells to M then
The Cost price of the set = Rs. 23A/20
Profit on it = 20%
Selling Price = [(100+g)×CP]/100
=> SP = [(100+20)×A]/100
=> SP = 120A/100
=> SP = 24A/20
Selling Price = Rs. 24A/20
The amount paid by M = Rs. 690
=> 24A/20 = 690
=> 24A = 690×20
=> 24A = 13800
=> A = 13800/24
=> A = 575
Original cost = Rs. 575
Answer:-
The original cost price of the set of sketch pens is Rs. 575
Used formulae:-
→ Selling Price = [(100+g)×CP]/100
- SP = Selling Price
- CP = Cost Price
- g = gain or profit