A shopkeeper marks his goods $20 %$ above cost price. If he allows $30 %$ discount for cash payment, then what is the percentage loss?

8 %

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10 %

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16 %

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20 %

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Solution

The correct option is C $16 %$
Let the cost price of goods be $Rs. x$
Marked price of goods $= 120 % of x = Rs. 1.2 x$
After discount, selling price of goods
$= 70 % of 1.2 x = Rs. 0.84 x$
$∴$ Loss $= x - 0.84 x = Rs. 0.16 x$

Hence, required percentage loss
$= \frac{0.16 x \times 100}{x} = 16 %$

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A shopkeeper marks his goods 20% above cost price. If he allows 30% discount for cash payment, then what is the percentage loss?

The correct option is C 16%Let the cost price of goods be Rs. x Marked price of goods =120% of x=Rs. 1.2x After discount, selling price of goods =70% of 1.2x=Rs. 0.84x ∴ Loss =x−0.84x=Rs. 0.16x Hence, required percentage loss =0.16x×100x=16%

A shopkeeper marks his goods $20 %$ above cost price. If he allows $30 %$ discount for cash payment, then what is the percentage loss?

The correct option is C $16 %$
Let the cost price of goods be $Rs. x$
Marked price of goods $= 120 % of x = Rs. 1.2 x$
After discount, selling price of goods
$= 70 % of 1.2 x = Rs. 0.84 x$
$∴$ Loss $= x - 0.84 x = Rs. 0.16 x$

Hence, required percentage loss
$= \frac{0.16 x \times 100}{x} = 16 %$