When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is
When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is
1). 35 percent
2). 50 percent
3). 20 percent
4). 65 percent
1 answers
Let marked price = Rs. $100x$
After 25% discount, selling price = $\frac{75}{100} \times 100x =$ Rs. 75x
Let Cost price = Rs. $y $
=> Profit $% = \frac{75x - y}{y} \times 100 = 25$
=> $\frac{75x - y}{y} = \frac{25}{100} = \frac{1}{4}$
=> $300x - 4y = y$
=> $y = \frac{300x}{5} = Rs. 60x$
If, discount $= 10%$, => Selling price $= \frac{90}{100} \times 100x = $Rs. 90x
\therefore Profit % $= \frac{90x - 60x}{60x}$ \times $100$
$= \frac{1}{2}$ \times $100 = 50$ %
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