Question

a businessman marks his goods at 30% above the cost price . then ,he sells them at a discount of 15% . find profit %

Answer 1

let C.P=100 ,

then
M.P=130,

discount=15%,

then
S.P=85% of M.P,

S.P=85/100 ×130,

S.P=110.5,


therefore

profit=110.5-100,

profit=10.5,


hence
% profit=10.5/100 ×100,

% profit=10.5

Answer 2

A business marks his goods at 30 % above the cost price.
If CP is 100, then MP = 130 ________(1)

He sells them at a discount of 15%.
If MP = 100, then SP = 85 ___________(2)

Combining (1) and (2), we will get
(CP/SP) = (CP/MP) × (MP/SP) [ MP gets cancelled out]
(CP/SP) = (100/130) × ( 100 / 85) = 1000/1105
SP > CP, gain is incurred.
Gain = 1105-1000= 105
Gain % = ( gain/CP) ×100 = ( 105/1000) ×100 =10.5% is the required answer.

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