An article is sold at a loss of 10%. Its cost price is Rs.800. A disco

1.	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 ?1). 10%2). 15%3). 20%4). 25%
Answer» 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)

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 ?1). 10%2). 15%3). 20%4). 25%

Answer»

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)