An article when sold for 960 fetches 20% profit.What would be the perc

1.	An article when sold for 960 fetches 20% profit.What would be the percent profit /loss if such 5article are sold for Rs. 825/-each?1). 3.125 % profit2). 3.125 % loss3). Neither profit nor loss4). 16.5 % profit
Answer» Solution Let COST price of an ARTICLE = $Rs.$ $100x$ If Selling price = Rs 960 => PROFIT % = $\frac{960-100x}{100x} \times 100=20$ => $960-100x=20x$ => $20x+100x=120x=960$ => $x=\frac{960}{120}=8$ Thus, cost price of 1 article = $100 \times 8 = Rs.$ $800$ If selling price = Rs. 825 $\therefore$ Profit % = $\frac{825-800}{800} \times 100$ = $\frac{25}{8} = 3.125\%$ => Ans - (A)

An article when sold for 960 fetches 20% profit.What would be the percent profit /loss if such 5article are sold for Rs. 825/-each?1). 3.125 % profit2). 3.125 % loss3). Neither profit nor loss4). 16.5 % profit

Answer»

Solution

Let COST price of an ARTICLE = $Rs.$ $100x$

If Selling price = Rs 960

=> PROFIT % = $\frac{960-100x}{100x} \times 100=20$

=> $960-100x=20x$

=> $20x+100x=120x=960$

=> $x=\frac{960}{120}=8$

Thus, cost price of 1 article = $100 \times 8 = Rs.$ $800$

If selling price = Rs. 825

$\therefore$ Profit % = $\frac{825-800}{800} \times 100$

= $\frac{25}{8} = 3.125\%$

=> Ans - (A)