A shopkeeper marks his goods 30% above the cost price and gives a discount of 15% on the Marked price what gain percent did he make
Answers
Answer : Profit Percentage = 10.5%
Step-by-step explanation:
Let the cost price be 100
Cost price :- CP
Marked Price :- MP
Selling Price :- SP
Finding the Marked Price :-
MP = 100+ 30(30%)
=Rs.130
Finding the Discount :-
Discount = 15% of 130
=15/100*130
=RS.19.5
Finding The Selling Price :-
SP = MP-Discount
130-19.5
Rs.110.5
Finding the Profit :-
Profit = SP-CP
110.5-100
Rs.10.5
Finding the Profit Percentage :-
Profit % = profit/CP*100
10.5/100*100
10.5%
Hence , Profit Percentage is 10.5%
Solution:
Gain percent of goods = 10.5 %
Explanation :
Given,
Let the cost price goods = x
Marked price = 30% ( x + x )
= 0.3 ( x + x )
= Rs 1.3x
Discount = 15%
Now we should find selling price goods,
S.P = M.P - discount % of M.P
= 1.3x - 15% of 1.3x
= 1.3x - 0.195x
= 1.105
Selling price ( s.p ) = Rs 1.105x
Cost Price ( c.p ) = Rs x
Selling price > Cost price
Profit = S.P - C.P
= (1.105x - x)
= Rs 0.105x
Profit percentage = (profit × 100)/C.P %
= (0.105x × 100)/x %
= 10.5x/x %
= 10.5 %