In winters, the meter scale of a cloth merchant shrinks by 10% of its actual length. If the meter scale in its regular condition was rigged…

A meter scale is supposed to measure 100cm.

After rigging, the meter scale would be measuring 110 cm.

In winter, the scale shrinks by 10% and thus would measure just 110 × 0.9 = 99 cm.

The cloth merchant would charge for 100cm (as the scale would still read 100) but actually sell just 99 cm.

∴ He would make a profit of $(\frac{1}{{99}} \times 100 = 1.01\%)$

110×0.9 =99 cm

1/99 ×100 = 1.0101%