A person marks his goods $10 %$ above cost price. If he allows $40 %$ discount for cash payment, then what is the percentage loss?

34 %

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14 %

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17 %

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30 %

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Solution

The correct option is A $34 %$
Let the cost price of goods be $Rs. x$ .
Marked price of goods $= 110 %$ of $x = Rs. 1.1 x$
After discount, selling price of goods $= 60 %$ of $1.1 x = Rs. 0.66 x$
$∴$ Loss $= x - 0.66 x = Rs. 0.34 x$

Required percentage loss $= \frac{0.34 x \times 100}{x} = 34 %$

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A person marks his goods 10% above cost price. If he allows 40% discount for cash payment, then what is the percentage loss?

The correct option is A 34%Let the cost price of goods be Rs. x. Marked price of goods =110% of x=Rs. 1.1x After discount, selling price of goods =60% of 1.1x=Rs. 0.66x ∴ Loss =x−0.66x=Rs. 0.34x Required percentage loss =0.34x×100x=34%

A person marks his goods $10 %$ above cost price. If he allows $40 %$ discount for cash payment, then what is the percentage loss?

The correct option is A $34 %$
Let the cost price of goods be $Rs. x$ .
Marked price of goods $= 110 %$ of $x = Rs. 1.1 x$
After discount, selling price of goods $= 60 %$ of $1.1 x = Rs. 0.66 x$
$∴$ Loss $= x - 0.66 x = Rs. 0.34 x$

Required percentage loss $= \frac{0.34 x \times 100}{x} = 34 %$