Question

A cloth merchant sells cloth at a Mark-up of 20%. Find the profit % in summer when the Meter scale expands by 10%?
7.5 % profit b. 8.09 % Profit c. No Profit, No loss d. Cannot be Determined​

Answer 1

Answer:

50%

Step-by-step explanation:

From (i), (ii) & (iii) we get following relations,

M = (1 + MP/100)*C …… (1a)

S = (1 - 10/100)*M …… (1b)

S = (1 + 8/100)*(1 + 25/100)*C …… (1c)

From (1a), (1b) & (1c) we get,

(1 - 10/100)*(1 + MP/100)*C = (1 + 8/100)*(1 + 25/100)*C

or (1 + MP/100)*0.90 = 1.08*1.25

or 1 + MP/100 = 1.08*1.25/0.90 = 1.50

or MP/100 = 0.50 or MP = 50% …… (1d)

Therefore from (1d) it is evident that

the percentage by how much the cloth should be marked up = 50%