A shopkeeper cheats to the extent of 10% while buying as well as selling, by using false weights. His total gain in % is:

10%

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11%

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20%

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21%

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22(2/9)%

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Solution

The correct option is D
21%

Rule :
Gain % = $\frac{(100 + c o m m o n g a i n %)}{100} - 100$

Gain % = $[\frac{{(100 + 10)}^{2}}{100} - 100] % = (\frac{12100 - 10000}{100}) % = 21 % .$

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A shopkeeper cheats to the extent of 10% while buying as well as selling, by using false weights. His total gain in % is:

The correct option is D 21% Rule : Gain % = (100+commongain%)100−100 Gain % = [(100+10)2100−100]%=(12100−10000100)%=21%.

The correct option is D
21%

Rule :
Gain % = $\frac{(100 + c o m m o n g a i n %)}{100} - 100$

Gain % = $[\frac{{(100 + 10)}^{2}}{100} - 100] % = (\frac{12100 - 10000}{100}) % = 21 % .$