Which is a better deal for a customer, a single discount of 14% or two successive discount of 12% and 2%

Given:

A single discount of 14% and two successive discounts of 12% and 2%.

To do:

We have to find if a single discount of 14% is better or two successive discounts of 12% and 2% is better.

Solution:

Let the marked price be Rs. 100.

Price after single discount of 14% $=100-\frac{14}{100}\times100$

$=100-14=86$

In the second case,

First discount $= 12 \%$

$12 \%$of 100 $= \frac{12}{100}\times100=12$

Price $=100 - 12 = 88$

Second discount $= 2 \%$

$2 \%$ of 88 $= \frac{2}{100}\times88$

$=1.76$

Final price $= 88-1.76$

$= 86.24$

Therefore, a single discount of 14% is better than two successive discounts of 12% and 2%.