A. no profit, no loss
B. 20% profit
C. less than 20% profit
D. more than 20% profit
D. more than 20% profit
Let the article be of worth rupees x.
then, as per the statement, the cost price at 10% less value will be:
C.P=[(100-10)/100]*x
C.P=90x/100
C.P=9x/10 rupees
Sells at 10% more value means:
S.P= x*[(100+10)/100]
S.P=110x/100
S.P=11x/10 rupees
As 11x/10 > 9x/10, this means, man has gain percentage.
So,
Gain=S.P-C.P
Gain=11x/10-9x/10
Gain=(11x-9x)/10
Gain=2x/10
Gain=x/5 rupees
But, we need gain%.
So,
Gain%=(Gain/C.P)*100
Gain%=[(x/5)/(9×10)]* 100
Gain%=(x/5÷9x/10)*100
Gain%=[(x/5)*(10/9x)]*100
Gain%=(2x/9x)*100
Gain%=(2/9)*100
Gain%=200/9
or
Gain%=22*(2/9)
So, Profit is more than 20%
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