A shopkeeper marks the price of his goods of 20% than the original price.After that he allows a discount of 10%. What profitor loss did he get.

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Solution

$L e t t h e \cos t p r i c e o f t h e g o o d s b e x T h e n m a r k e d p r i c e = x + \frac{20}{100} \times x = x + \frac{x}{5} = \frac{6 x}{5} N o w d i s c o u n t = 10 % H e n c e S . P o f g o o d s = \frac{6 x}{5} - \frac{10}{100} \times \frac{6 x}{5} = \frac{6 x}{5} - \frac{6 x}{50} = \frac{54 x}{50} N o w S . P > C . P H e n c e P r o f i t = S . P - C . P = \frac{54 x}{50} - x = \frac{4 x}{50} ∴ P r o f i t % = \frac{P r o f i t}{C . P} \times 100 = \frac{\frac{4 x}{50} \times 100}{x} = \frac{4 x}{50 x} \times 100 = 8 %$

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At what percent above the cost price must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price?

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