Question

a man gains 10% by selling an article for a certain price.if he sells it at double the price the percentage of profir will be

Answer 1

Let C.P = X
Gain = 10%
S.P = C.P*(100+G)/100 = X*110/100 = X*11/10
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Had he sold it at double the price(double the S.P)
S.P = 2*X*11/10 = X*22/10
C.P = X
Gain = X*22/10 - X = 12*X/10
Gain% = (12*X/10)/X * 100 = 12/10 * 100 = 120%
Hence % Profit would have been 120%
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Alternatively:
Gain = 10% at S.P
At 2*S.P, Gain = ??
110%===S.P
X%====2*S.P
X%*S.P = 2*S.P*110
X% = 220% = (100+120)%=== 120% gain
Hence the profit would have been 120%

Hope it helps

Answer 2

Answer:

let

Step-by-step explanation:

let the CP of an article be 100 rupees

Then SP= 100+gain%× CP/100

= 110+10×100/100

=100

New SP= 2×110 = 220

Profit = 220-100 = 120

Profit% = 120×100/100

=120% Ans