A shopkeeper gives two successive discounts on an article marked Rs. 450. The first discount given is 10%. If the customer pays Rs. 344.25 for the article, the second discount given is -

Let the second discount rate be x%
Then,
= (100 - x)% of 90% of 450 = 344.25
$$\eqalign{ & \Rightarrow \frac{{100 - x}}{{100}} \times \frac{{90}}{{100}} \times 450 = 344.25 \cr & \Rightarrow \left( {100 - x} \right) = \left( {\frac{{34425}}{{9 \times 45}}} \right) = 85 \cr & \Rightarrow x = 15 \cr} $$
∴ Second discount rate = 15%