(a) \(2\frac{1}{2}\)% decrease
Let the price of the article be Rs x and daily sale be y units.
Then, daily sale receipts = Rs xy
Reduced price of the article =Rs \(\frac{3}{4}\)x
Increased daily sale = Rs \(\frac{13}{10}\)y
\(\therefore\) Daily sale receipts = Rs \(\frac{3}{4}\)x x \(\frac{13}{10}\)y = Rs \(\frac{39}{40}\)xy
\(\therefore\) % reduction = \(\frac{Xy-\frac{39}{40}Xy}{Xy}\)x 100%
= \(\frac{100}{40}\)% = 2.5%