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An article is sold at a loss of 10%. Its cost price is Rs.800. A discount of 20% was offered on the labelled price while selling. What is the loss per cent at the labelled price ?
- A10%
- B15%
- C20%
- D25%
Answer not set
Discussion 1
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CCommunity
Solution
Let labelled price of the item = $Rs. 100x$
Discount % = 20%
=> Selling price = $100x-\frac{20}{100} \times 100x = Rs. 80x$
Cost price = Rs. 800
Loss % = $\frac{800-80x}{800} \times 100=10$
=> $\frac{800-80x}{8}=10$
=> $100-10x=10$
=> $10x=100-10=90$
=> $x=\frac{90}{10}=9$
Thu, labelled price = $100 \times 9 = Rs. 900$
and Selling price = $80 \times 9 = Rs. 720$
$\therefore$ Loss % at labelled price = $\frac{900-720}{900} \times 100$
= $\frac{180}{9}=20\%$
=> Ans - (C)
Let labelled price of the item = $Rs. 100x$
Discount % = 20%
=> Selling price = $100x-\frac{20}{100} \times 100x = Rs. 80x$
Cost price = Rs. 800
Loss % = $\frac{800-80x}{800} \times 100=10$
=> $\frac{800-80x}{8}=10$
=> $100-10x=10$
=> $10x=100-10=90$
=> $x=\frac{90}{10}=9$
Thu, labelled price = $100 \times 9 = Rs. 900$
and Selling price = $80 \times 9 = Rs. 720$
$\therefore$ Loss % at labelled price = $\frac{900-720}{900} \times 100$
= $\frac{180}{9}=20\%$
=> Ans - (C)