A profit of 25% is earned on goods when a discount of 20% is allowed on the marked price. What profit percentage will be earned when a discount of 10% is allowed on the marked price?
A profit of 25% is earned on goods when a discount of 20% is allowed on the marked price. What profit percentage will be earned when a discount of 10% is allowed on the marked price?
1). $$45\frac{9}{11}$$
2). $$42\frac{3}{4}$$
3). $$40\frac{5}{8}$$
4). $$37\frac{2}{3}$$
2 answers
Let the Marked Price = Rs. 100
=> Selling price = $\frac{80}{100} \times 100 = 80$
$\therefore$ Cost price = $\frac{100}{125} \times 80 = 64$
When discount of 10% is allowed
=> S.P. = $\frac{90}{100} \times 100 = 90$
$\therefore$ Required Profit % = $\frac{90 - 64}{64} \times 100$
= $\frac{325}{8} = 40\frac{5}{8} \%$
Let the Marked Price = Rs. 100
=> Selling price = $\frac{80}{100} \times 100 = 80$
$\therefore$ Cost price = $\frac{100}{125} \times 80 = 64$
When discount of 10% is allowed
=> S.P. = $\frac{90}{100} \times 100 = 90$
$\therefore$ Required Profit % = $\frac{90 - 64}{64} \times 100$
= $\frac{325}{8} = 40\frac{5}{8} \%$