Question

A shopkeeper offers his customers 10% discount and still makes a profit of 26%. What is the actual cost of an article marked Rs 280?

A person sells an article for Rs 550, gaining 1/10 of its C.P. Find gain%.


plzz answer these.,!!

Answer 1

1st part
Marked Price (M.P) = 280
Discount = 10%
S.P = M.P*(100-d)/100 = 280(100-10)/100 = 252
S.P= Rs.252
P% = 26%
S.P = C.P(100+P)/100
252 = C.P(126)/100
C.P = 252*100/126 = 200
Hence, Cost Price is Rs.200

2nd part
S.P = Rs.550
Gain = 1/10 C.P
Applying ratio method, 1/10 gain implies, if C.P = 10 parts, gain = 1 part, hence S.P = 10+1 = 11 parts.
So, 10(C.P)-----11(S.P)
Gain = 1
Gain% = 1/10 * 100 = 10%
OR
S.P (11 parts) == 550
1 part == 50
C.P(10 parts)==500
Gain% = 50/500 * 100 = 10%

Hope it helps