A dishonest shopkeeper, using a faculty balance makes a profit of 5% while buying as well as while selling his goods. His actual gain percent in the whole process amounts to ?

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Solution

Let vs assume the actual value of goods =Rs x
He buys them at Rs 0.95x (5% profit while buying)
He sells then at Rs 1.05x (5% profit while selling)
Profit $= \frac{1.05 x - 0.9 x}{0.95 x} \times 100$
$= \frac{0.10 x}{0.95 x} \times 100 = 10.52 %$

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A dishonest shopkeeper, using a faculty balance makes a profit of 5% while buying as well as while selling his goods. His actual gain percent in the whole process amounts to ?

Let vs assume the actual value of goods =Rs x He buys them at Rs 0.95x (5% profit while buying) He sells then at Rs 1.05x (5% profit while selling) Profit =1.05x−0.9x0.95x×100 =0.10x0.95x×100=10.52%

Let vs assume the actual value of goods =Rs x
He buys them at Rs 0.95x (5% profit while buying)
He sells then at Rs 1.05x (5% profit while selling)
Profit $= \frac{1.05 x - 0.9 x}{0.95 x} \times 100$
$= \frac{0.10 x}{0.95 x} \times 100 = 10.52 %$