On selling a watch for Rs. 1500, the shopkeeper gains 20% . Find the cost price of the watch.
Answers
Step-by-step explanation:
Given :-
On selling a watch for Rs. 1500, the shopkeeper gains 20% .
To find :-
Find the cost price of the watch. ?
Solution :-
Method -1:-
Let the cost price of a watch be Rs. X
Selling Price of the watch = Rs. 1500
Gain on it = 20%
We know that
Cost price = (100×SP)/(100+g)
On Substituting these values in the above formula then
=> X = (100×1500)/(100+20)
=> X = 150000/120
=> X = 15000/12
=> X = 1250
The Cost Price = Rs. 1250
Method-2:-
Let the cost price of a watch be Rs. X
Selling Price of the watch = Rs. 1500
Gain = SP - CP
=> Gain = 1500-X
Gain on it = 20%
Gain % = (Gain / CP) × 100
=>20 = [(1500-X)100]/X
=> 20X = (1500-X)100
=> 20X /100 = 1500-X
=> X/5 = 1500-X
=> X = (1500-X )×5
=> X = 7500-5X
=> X+5X = 7500
=> 6X = 7500
=> X = 7500/6
=> X = 1250
The Cost Price = Rs. 1250
Answer:-
The Cost Price of the watch = Rs. 1250
Used formulae:-
→ Cost price = (100×SP)/(100+g)
→Gain % = (Gain / CP) × 100
→Gain = SP - CP
- SP = Selling Price
- CP = Cost Price
- g = gain